96826432800 has 144 divisors (see below), whose sum is σ = 315337754592. Its totient is φ = 25806643200.

The previous prime is 96826432763. The next prime is 96826432847. The reversal of 96826432800 is 823462869.

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 96826432800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4984707 + ... + 5004093.

It is an arithmetic number, because the mean of its divisors is an integer number (2189845518).

Almost surely, 2^96826432800 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 96826432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157668877296).

96826432800 is an abundant number, since it is smaller than the sum of its proper divisors (218511321792).

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

96826432800 is a wasteful number, since it uses less digits than its factorization.

96826432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21491 (or 21478 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 96826432800 in words is "ninety-six billion, eight hundred twenty-six million, four hundred thirty-two thousand, eight hundred".