96123877200 has 240 divisors, whose sum is σ = 368448015040. Its totient is φ = 23661227520.

The previous prime is 96123877159. The next prime is 96123877231. The reversal of 96123877200 is 277832169.

96123877200 is a `hidden beast` number, since 9 + 61 + 2 + 387 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201922 + ... + 482721.

Almost surely, 2^96123877200 is an apocalyptic number.

96123877200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96123877200 is an abundant number, since it is smaller than the sum of its proper divisors (272324137840).

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

96123877200 is a wasteful number, since it uses less digits than its factorization.

96123877200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684683 (or 684666 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 96123877200 in words is "ninety-six billion, one hundred twenty-three million, eight hundred seventy-seven thousand, two hundred".