96265713600 has 1512 divisors, whose sum is σ = 428682229248. Its totient is φ = 21163161600.

The previous prime is 96265713587. The next prime is 96265713601. The reversal of 96265713600 is 631756269.

96265713600 is a `hidden beast` number, since 9 + 6 + 26 + 5 + 7 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×96265713600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96265713601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 590587119 + ... + 590587281.

Almost surely, 2^96265713600 is an apocalyptic number.

96265713600 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 96265713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214341114624).

96265713600 is an abundant number, since it is smaller than the sum of its proper divisors (332416515648).

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

96265713600 is a wasteful number, since it uses less digits than its factorization.

96265713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 96265713600 in words is "ninety-six billion, two hundred sixty-five million, seven hundred thirteen thousand, six hundred".