95990756400 has 480 divisors, whose sum is σ = 425964403200. Its totient is φ = 19945958400.

The previous prime is 95990756399. The next prime is 95990756413. The reversal of 95990756400 is 465709959.

95990756400 is a `hidden beast` number, since 9 + 599 + 0 + 7 + 5 + 6 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773886 + ... + 889314.

It is an arithmetic number, because the mean of its divisors is an integer number (887425840).

Almost surely, 2^95990756400 is an apocalyptic number.

95990756400 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 95990756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212982201600).

95990756400 is an abundant number, since it is smaller than the sum of its proper divisors (329973646800).

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

95990756400 is a wasteful number, since it uses less digits than its factorization.

95990756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115474 (or 115457 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 95990756400 in words is "ninety-five billion, nine hundred ninety million, seven hundred fifty-six thousand, four hundred".