96812238600 has 576 divisors, whose sum is σ = 412259328000. Its totient is φ = 19774195200.

The previous prime is 96812238599. The next prime is 96812238631. The reversal of 96812238600 is 683221869.

96812238600 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 2 + 2 + 38 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8171481 + ... + 8183319.

It is an arithmetic number, because the mean of its divisors is an integer number (715728000).

Almost surely, 2^96812238600 is an apocalyptic number.

96812238600 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 96812238600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206129664000).

96812238600 is an abundant number, since it is smaller than the sum of its proper divisors (315447089400).

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

96812238600 is a wasteful number, since it uses less digits than its factorization.

96812238600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11938 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 96812238600 in words is "ninety-six billion, eight hundred twelve million, two hundred thirty-eight thousand, six hundred".