13092872315040 has 576 divisors, whose sum is σ = 54133995202560. Its totient is φ = 2817843240960.

The previous prime is 13092872315011. The next prime is 13092872315051. The reversal of 13092872315040 is 4051327829031.

It is a happy number.

13092872315040 is a `hidden beast` number, since 1 + 30 + 9 + 2 + 87 + 2 + 31 + 504 + 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, 10995546 + ... + 12127974.

It is an arithmetic number, because the mean of its divisors is an integer number (93982630560).

Almost surely, 2^{13092872315040} is an apocalyptic number.

13092872315040 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 13092872315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066997601280).

13092872315040 is an abundant number, since it is smaller than the sum of its proper divisors (41041122887520).

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

13092872315040 is a wasteful number, since it uses less digits than its factorization.

13092872315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132525 (or 1132514 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13092872315040 in words is "thirteen trillion, ninety-two billion, eight hundred seventy-two million, three hundred fifteen thousand, forty".