96759576900 has 432 divisors, whose sum is σ = 358470112000. Its totient is φ = 21368448000.

The previous prime is 96759576899. The next prime is 96759576919. The reversal of 96759576900 is 967595769.

96759576900 is a `hidden beast` number, since 9 + 6 + 7 + 59 + 576 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×96759576900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 35196726 + ... + 35199474.

Almost surely, 2^96759576900 is an apocalyptic number.

96759576900 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 96759576900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179235056000).

96759576900 is an abundant number, since it is smaller than the sum of its proper divisors (261710535100).

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

96759576900 is a wasteful number, since it uses less digits than its factorization.

96759576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

96759576900 divided by its reverse (967595769) gives a square (100 = 10²).

The spelling of 96759576900 in words is "ninety-six billion, seven hundred fifty-nine million, five hundred seventy-six thousand, nine hundred".