95966474877504 has 3969 divisors, whose sum is σ = 398129724819603. Its totient is φ = 22852687334400.

The previous prime is 95966474877487. The next prime is 95966474877569. The reversal of 95966474877504 is 40577847466959.

The square root of 95966474877504 is 9796248.

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

95966474877504 is a `hidden beast` number, since 9 + 5 + 9 + 6 + 64 + 7 + 48 + 7 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (3969).

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

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 3095692737969 + ... + 3095692737999.

Almost surely, 2^{95966474877504} is an apocalyptic number.

95966474877504 is the 9796248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95966474877504

95966474877504 is an abundant number, since it is smaller than the sum of its proper divisors (302163249942099).

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

95966474877504 is a wasteful number, since it uses less digits than its factorization.

95966474877504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12802406400, while the sum is 81.

95966474877504 divided by its sum of digits (81) gives a square (1184771294784 = 1088472²).

The spelling of 95966474877504 in words is "ninety-five trillion, nine hundred sixty-six billion, four hundred seventy-four million, eight hundred seventy-seven thousand, five hundred four".