95904972800 has 720 divisors, whose sum is σ = 305805760512. Its totient is φ = 29019340800.

The previous prime is 95904972739. The next prime is 95904972811. The reversal of 95904972800 is 827940959.

It is a super-3 number, since 3×95904972800³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155481559 + ... + 1155481641.

Almost surely, 2^95904972800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95904972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152902880256).

95904972800 is an abundant number, since it is smaller than the sum of its proper divisors (209900787712).

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

95904972800 is a wasteful number, since it uses less digits than its factorization.

95904972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 95904972800 in words is "ninety-five billion, nine hundred four million, nine hundred seventy-two thousand, eight hundred".