95412528000 has 768 divisors, whose sum is σ = 369527558400. Its totient is φ = 23514624000.

The previous prime is 95412527993. The next prime is 95412528011. The reversal of 95412528000 is 82521459.

95412528000 is a `hidden beast` number, since 95 + 41 + 2 + 528 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117647595 + ... + 117648405.

It is an arithmetic number, because the mean of its divisors is an integer number (481155675).

Almost surely, 2^95412528000 is an apocalyptic number.

95412528000 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 95412528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184763779200).

95412528000 is an abundant number, since it is smaller than the sum of its proper divisors (274115030400).

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

95412528000 is a wasteful number, since it uses less digits than its factorization.

95412528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 95412528000 in words is "ninety-five billion, four hundred twelve million, five hundred twenty-eight thousand".