95295578112 has 448 divisors, whose sum is σ = 328289107200. Its totient is φ = 26754416640.

The previous prime is 95295578107. The next prime is 95295578153. The reversal of 95295578112 is 21187559259.

95295578112 is a `hidden beast` number, since 9 + 5 + 2 + 9 + 557 + 81 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94445064 + ... + 94446072.

Almost surely, 2^95295578112 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 95295578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164144553600).

95295578112 is an abundant number, since it is smaller than the sum of its proper divisors (232993529088).

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

95295578112 is a wasteful number, since it uses less digits than its factorization.

95295578112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1082 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 54.

The spelling of 95295578112 in words is "ninety-five billion, two hundred ninety-five million, five hundred seventy-eight thousand, one hundred twelve".