96867877253904 has 405 divisors, whose sum is σ = 289674750294111. Its totient is φ = 31378342567680.

The previous prime is 96867877253891. The next prime is 96867877253933. The reversal of 96867877253904 is 40935277876869.

It is a happy number.

The square root of 96867877253904 is 9842148.

It is a perfect power (a square), and thus also a powerful number.

96867877253904 is a `hidden beast` number, since 9 + 6 + 8 + 6 + 7 + 8 + 7 + 72 + 539 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4593563427600 + 92274313826304 = 2143260^2 + 9605952^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117987669814 + ... + 117987670634.

Almost surely, 2^{96867877253904} is an apocalyptic number.

96867877253904 is the 9842148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96867877253904

96867877253904 is an abundant number, since it is smaller than the sum of its proper divisors (192806873040207).

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

96867877253904 is an frugal number, since it uses more digits than its factorization.

96867877253904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

96867877253904 divided by its sum of digits (81) gives a square (1195899719184 = 1093572²).

The spelling of 96867877253904 in words is "ninety-six trillion, eight hundred sixty-seven billion, eight hundred seventy-seven million, two hundred fifty-three thousand, nine hundred four".