12760863897600 has 4536 divisors, whose sum is σ = 62361307761480. Its totient is φ = 2534025461760.

The previous prime is 12760863897599. The next prime is 12760863897619. The reversal of 12760863897600 is 679836806721.

12760863897600 is a `hidden beast` number, since 12 + 7 + 6 + 0 + 8 + 6 + 3 + 8 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-3 number, since 3×12760863897600³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 377 ways as a sum of consecutive naturals, for example, 750639052792 + ... + 750639052808.

Almost surely, 2^{12760863897600} is an apocalyptic number.

12760863897600 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 12760863897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31180653880740).

12760863897600 is an abundant number, since it is smaller than the sum of its proper divisors (49600443863880).

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

12760863897600 is an equidigital number, since it uses as much as digits as its factorization.

12760863897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 12760863897600 in words is "twelve trillion, seven hundred sixty billion, eight hundred sixty-three million, eight hundred ninety-seven thousand, six hundred".