95151522816 has 264 divisors, whose sum is σ = 321309303744. Its totient is φ = 26553139200.

The previous prime is 95151522761. The next prime is 95151522847. The reversal of 95151522816 is 61822515159.

95151522816 is a `hidden beast` number, since 9 + 51 + 515 + 2 + 2 + 81 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2756866 + ... + 2791166.

It is an arithmetic number, because the mean of its divisors is an integer number (1217080696).

Almost surely, 2^95151522816 is an apocalyptic number.

95151522816 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 95151522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160654651872).

95151522816 is an abundant number, since it is smaller than the sum of its proper divisors (226157780928).

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

95151522816 is a wasteful number, since it uses less digits than its factorization.

95151522816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34377 (or 34356 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The spelling of 95151522816 in words is "ninety-five billion, one hundred fifty-one million, five hundred twenty-two thousand, eight hundred sixteen".