13257768545280 has 2640 divisors, whose sum is σ = 57988004880960. Its totient is φ = 2836477771776.

The previous prime is 13257768545233. The next prime is 13257768545293. The reversal of 13257768545280 is 8254586775231.

13257768545280 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 7 + 7 + 6 + 8 + 545 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 136678026192 + ... + 136678026288.

It is an arithmetic number, because the mean of its divisors is an integer number (21965153364).

Almost surely, 2^{13257768545280} is an apocalyptic number.

13257768545280 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 13257768545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994002440480).

13257768545280 is an abundant number, since it is smaller than the sum of its proper divisors (44730236335680).

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

13257768545280 is an equidigital number, since it uses as much as digits as its factorization.

13257768545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 13257768545280 in words is "thirteen trillion, two hundred fifty-seven billion, seven hundred sixty-eight million, five hundred forty-five thousand, two hundred eighty".