95157836640 has 192 divisors, whose sum is σ = 339337252800. Its totient is φ = 24896581632.

The previous prime is 95157836621. The next prime is 95157836659. The reversal of 95157836640 is 4663875159.

95157836640 is a `hidden beast` number, since 9 + 5 + 1 + 578 + 3 + 6 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95157836621) and next prime (95157836659).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21156 + ... + 436764.

It is an arithmetic number, because the mean of its divisors is an integer number (1767381525).

Almost surely, 2^95157836640 is an apocalyptic number.

95157836640 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 95157836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169668626400).

95157836640 is an abundant number, since it is smaller than the sum of its proper divisors (244179416160).

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

95157836640 is a wasteful number, since it uses less digits than its factorization.

95157836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415686 (or 415672 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 95157836640 in words is "ninety-five billion, one hundred fifty-seven million, eight hundred thirty-six thousand, six hundred forty".