9865792518400 has 864 divisors, whose sum is σ = 31761727119360. Its totient is φ = 2948484464640.

The previous prime is 9865792518347. The next prime is 9865792518431. The reversal of 9865792518400 is 48152975689.

It is a happy number.

It is a super-2 number, since 2×9865792518400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1058216139 + ... + 1058225461.

It is an arithmetic number, because the mean of its divisors is an integer number (36761258240).

Almost surely, 2^{9865792518400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9865792518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880863559680).

9865792518400 is an abundant number, since it is smaller than the sum of its proper divisors (21895934600960).

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

9865792518400 is a wasteful number, since it uses less digits than its factorization.

9865792518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 64.

The spelling of 9865792518400 in words is "nine trillion, eight hundred sixty-five billion, seven hundred ninety-two million, five hundred eighteen thousand, four hundred".