96718562400 has 576 divisors, whose sum is σ = 347107783680. Its totient is φ = 23290675200.

The previous prime is 96718562387. The next prime is 96718562441. The reversal of 96718562400 is 426581769.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96718562400.

It is a congruent number.

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, 119257995 + ... + 119258805.

It is an arithmetic number, because the mean of its divisors is an integer number (602617680).

Almost surely, 2^96718562400 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 96718562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173553891840).

96718562400 is an abundant number, since it is smaller than the sum of its proper divisors (250389221280).

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

96718562400 is a wasteful number, since it uses less digits than its factorization.

96718562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 96718562400 in words is "ninety-six billion, seven hundred eighteen million, five hundred sixty-two thousand, four hundred".