96963609600 has 1584 divisors, whose sum is σ = 426857471040. Its totient is φ = 21499084800.

The previous prime is 96963609539. The next prime is 96963609601. The reversal of 96963609600 is 690636969.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×96963609600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96963609601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 889574346 + ... + 889574454.

Almost surely, 2^96963609600 is an apocalyptic number.

96963609600 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 96963609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213428735520).

96963609600 is an abundant number, since it is smaller than the sum of its proper divisors (329893861440).

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

96963609600 is a wasteful number, since it uses less digits than its factorization.

96963609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 96963609600 in words is "ninety-six billion, nine hundred sixty-three million, six hundred nine thousand, six hundred".