96999081984 has 384 divisors, whose sum is σ = 347722502400. Its totient is φ = 26082017280.

The previous prime is 96999081913. The next prime is 96999081989. The reversal of 96999081984 is 48918099969.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96999081989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572854 + ... + 6587594.

It is an arithmetic number, because the mean of its divisors is an integer number (905527350).

Almost surely, 2^96999081984 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 96999081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173861251200).

96999081984 is an abundant number, since it is smaller than the sum of its proper divisors (250723420416).

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

96999081984 is a wasteful number, since it uses less digits than its factorization.

96999081984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 96999081984 in words is "ninety-six billion, nine hundred ninety-nine million, eighty-one thousand, nine hundred eighty-four".