95252032512 has 1056 divisors, whose sum is σ = 371627773440. Its totient is φ = 23463198720.

The previous prime is 95252032489. The next prime is 95252032559. The reversal of 95252032512 is 21523025259.

95252032512 is a `hidden beast` number, since 9 + 52 + 520 + 32 + 51 + 2 = 666.

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

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, 727114687 + ... + 727114817.

It is an arithmetic number, because the mean of its divisors is an integer number (351920240).

Almost surely, 2^95252032512 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 95252032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185813886720).

95252032512 is an abundant number, since it is smaller than the sum of its proper divisors (276375740928).

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

95252032512 is a wasteful number, since it uses less digits than its factorization.

95252032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 95252032512 in words is "ninety-five billion, two hundred fifty-two million, thirty-two thousand, five hundred twelve".