95251852800 has 1200 divisors, whose sum is σ = 391954413312. Its totient is φ = 22693478400.

The previous prime is 95251852799. The next prime is 95251852807. The reversal of 95251852800 is 825815259.

It is a happy number.

95251852800 is a `hidden beast` number, since 9 + 5 + 2 + 518 + 52 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95251852807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 498700705 + ... + 498700895.

Almost surely, 2^95251852800 is an apocalyptic number.

95251852800 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 95251852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195977206656).

95251852800 is an abundant number, since it is smaller than the sum of its proper divisors (296702560512).

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

95251852800 is a wasteful number, since it uses less digits than its factorization.

95251852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 95251852800 in words is "ninety-five billion, two hundred fifty-one million, eight hundred fifty-two thousand, eight hundred".