12547788295680 has 1280 divisors, whose sum is σ = 50046812513280. Its totient is φ = 2953986048000.

The previous prime is 12547788295663. The next prime is 12547788295697. The reversal of 12547788295680 is 8659288774521.

12547788295680 is a `hidden beast` number, since 1 + 2 + 5 + 477 + 8 + 8 + 2 + 95 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12547788295663) and next prime (12547788295697).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×12547788295680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12547788295599 and 12547788295608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4069991419 + ... + 4069994501.

It is an arithmetic number, because the mean of its divisors is an integer number (39099072276).

Almost surely, 2^{12547788295680} is an apocalyptic number.

12547788295680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12547788295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023406256640).

12547788295680 is an abundant number, since it is smaller than the sum of its proper divisors (37499024217600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12547788295680 is a wasteful number, since it uses less digits than its factorization.

12547788295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 12547788295680 in words is "twelve trillion, five hundred forty-seven billion, seven hundred eighty-eight million, two hundred ninety-five thousand, six hundred eighty".