95712731136 has 784 divisors, whose sum is σ = 330054801408. Its totient is φ = 27471052800.

The previous prime is 95712731131. The next prime is 95712731141. The reversal of 95712731136 is 63113721759.

95712731136 is a `hidden beast` number, since 9 + 571 + 2 + 73 + 1 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (95712731131) and next prime (95712731141).

It is a junction number, because it is equal to n+sod(n) for n = 95712731091 and 95712731100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95712731131) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2036441065 + ... + 2036441111.

Almost surely, 2^95712731136 is an apocalyptic number.

95712731136 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 95712731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165027400704).

95712731136 is an abundant number, since it is smaller than the sum of its proper divisors (234342070272).

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

95712731136 is an equidigital number, since it uses as much as digits as its factorization.

95712731136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 95712731136 in words is "ninety-five billion, seven hundred twelve million, seven hundred thirty-one thousand, one hundred thirty-six".