96757970150400 has 528 divisors, whose sum is σ = 344708345628864. Its totient is φ = 23795287326720.

The previous prime is 96757970150399. The next prime is 96757970150411. The reversal of 96757970150400 is 405107975769.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091206867 + ... + 1091295533.

Almost surely, 2^{96757970150400} 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 96757970150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354172814432).

96757970150400 is an abundant number, since it is smaller than the sum of its proper divisors (247950375478464).

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

96757970150400 is a wasteful number, since it uses less digits than its factorization.

96757970150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89806 (or 89783 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 60.

The spelling of 96757970150400 in words is "ninety-six trillion, seven hundred fifty-seven billion, nine hundred seventy million, one hundred fifty thousand, four hundred".