96509952000 has 1632 divisors, whose sum is σ = 459323115264. Its totient is φ = 18874368000.

The previous prime is 96509951999. The next prime is 96509952043. The reversal of 96509952000 is 25990569.

96509952000 is a `hidden beast` number, since 96 + 509 + 9 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5677055992 + ... + 5677056008.

Almost surely, 2^96509952000 is an apocalyptic number.

96509952000 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 96509952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229661557632).

96509952000 is an abundant number, since it is smaller than the sum of its proper divisors (362813163264).

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

96509952000 is a wasteful number, since it uses less digits than its factorization.

96509952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 96509952000 in words is "ninety-six billion, five hundred nine million, nine hundred fifty-two thousand".