13038510915360 has 576 divisors, whose sum is σ = 52750791475200. Its totient is φ = 2979255831552.

The previous prime is 13038510915323. The next prime is 13038510915371. The reversal of 13038510915360 is 6351901583031.

13038510915360 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 8 + 5 + 109 + 1 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1131907681 + ... + 1131919199.

It is an arithmetic number, because the mean of its divisors is an integer number (91581235200).

Almost surely, 2^{13038510915360} is an apocalyptic number.

13038510915360 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 13038510915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26375395737600).

13038510915360 is an abundant number, since it is smaller than the sum of its proper divisors (39712280559840).

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

13038510915360 is a wasteful number, since it uses less digits than its factorization.

13038510915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 13038510915360 in words is "thirteen trillion, thirty-eight billion, five hundred ten million, nine hundred fifteen thousand, three hundred sixty".