95123806272 has 448 divisors, whose sum is σ = 337084416000. Its totient is φ = 25948200960.

The previous prime is 95123806231. The next prime is 95123806313. The reversal of 95123806272 is 27260832159.

95123806272 is a `hidden beast` number, since 9 + 5 + 12 + 3 + 8 + 0 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (95123806231) and next prime (95123806313).

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 63 ways as a sum of consecutive naturals, for example, 7425729 + ... + 7438527.

Almost surely, 2^95123806272 is an apocalyptic number.

95123806272 is a gapful number since it is divisible by the number (92) 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 95123806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168542208000).

95123806272 is an abundant number, since it is smaller than the sum of its proper divisors (241960609728).

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

95123806272 is a wasteful number, since it uses less digits than its factorization.

95123806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 95123806272 in words is "ninety-five billion, one hundred twenty-three million, eight hundred six thousand, two hundred seventy-two".