96132812800 has 156 divisors (see below), whose sum is σ = 238913253216. Its totient is φ = 38367232000.

The previous prime is 96132812779. The next prime is 96132812803. The reversal of 96132812800 is 821823169.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96132812803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66252075 + ... + 66253525.

Almost surely, 2^96132812800 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 96132812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119456626608).

96132812800 is an abundant number, since it is smaller than the sum of its proper divisors (142780440416).

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

96132812800 is a wasteful number, since it uses less digits than its factorization.

96132812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 96132812800 in words is "ninety-six billion, one hundred thirty-two million, eight hundred twelve thousand, eight hundred".