15115793210400 has 288 divisors, whose sum is σ = 49398373801728. Its totient is φ = 4014795366400.

The previous prime is 15115793210369. The next prime is 15115793210407. The reversal of 15115793210400 is 401239751151.

It is not an unprimeable number, because it can be changed into a prime (15115793210407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2560693849 + ... + 2560699751.

It is an arithmetic number, because the mean of its divisors is an integer number (171522131256).

Almost surely, 2^{15115793210400} is an apocalyptic number.

15115793210400 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 15115793210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24699186900864).

15115793210400 is an abundant number, since it is smaller than the sum of its proper divisors (34282580591328).

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

15115793210400 is a wasteful number, since it uses less digits than its factorization.

15115793210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 15115793210400 in words is "fifteen trillion, one hundred fifteen billion, seven hundred ninety-three million, two hundred ten thousand, four hundred".