96872297760 has 384 divisors, whose sum is σ = 392955494400. Its totient is φ = 21829893120.

The previous prime is 96872297707. The next prime is 96872297801. The reversal of 96872297760 is 6779227869.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124481 + ... + 2169599.

It is an arithmetic number, because the mean of its divisors is an integer number (1023321600).

Almost surely, 2^96872297760 is an apocalyptic number.

96872297760 is a gapful number since it is divisible by the number (90) 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 96872297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196477747200).

96872297760 is an abundant number, since it is smaller than the sum of its proper divisors (296083196640).

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

96872297760 is a wasteful number, since it uses less digits than its factorization.

96872297760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45221 (or 45207 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 96872297760 in words is "ninety-six billion, eight hundred seventy-two million, two hundred ninety-seven thousand, seven hundred sixty".