95290331136 has 832 divisors, whose sum is σ = 349460299776. Its totient is φ = 22295347200.

The previous prime is 95290331113. The next prime is 95290331137. The reversal of 95290331136 is 63113309259.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (95290331137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750317505 + ... + 750317631.

Almost surely, 2^95290331136 is an apocalyptic number.

95290331136 is a gapful number since it is divisible by the number (96) 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 95290331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174730149888).

95290331136 is an abundant number, since it is smaller than the sum of its proper divisors (254169968640).

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

95290331136 is a wasteful number, since it uses less digits than its factorization.

95290331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

It can be divided in two parts, 95290 and 331136, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 95290331136 in words is "ninety-five billion, two hundred ninety million, three hundred thirty-one thousand, one hundred thirty-six".