95072124816 has 240 divisors, whose sum is σ = 287114067968. Its totient is φ = 30422044800.

The previous prime is 95072124809. The next prime is 95072124869. The reversal of 95072124816 is 61842127059.

95072124816 is a `hidden beast` number, since 9 + 507 + 2 + 124 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15303951 + ... + 15310161.

Almost surely, 2^95072124816 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 95072124816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143557033984).

95072124816 is an abundant number, since it is smaller than the sum of its proper divisors (192041943152).

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

95072124816 is a wasteful number, since it uses less digits than its factorization.

95072124816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 95072124816 in words is "ninety-five billion, seventy-two million, one hundred twenty-four thousand, eight hundred sixteen".