95273025120 has 1536 divisors, whose sum is σ = 440402780160. Its totient is φ = 18685624320.

The previous prime is 95273025037. The next prime is 95273025137. The reversal of 95273025120 is 2152037259.

95273025120 is a `hidden beast` number, since 9 + 527 + 3 + 0 + 2 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 370712032 + ... + 370712288.

It is an arithmetic number, because the mean of its divisors is an integer number (286720560).

Almost surely, 2^95273025120 is an apocalyptic number.

95273025120 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 95273025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220201390080).

95273025120 is an abundant number, since it is smaller than the sum of its proper divisors (345129755040).

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

95273025120 is a wasteful number, since it uses less digits than its factorization.

95273025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 95273025120 in words is "ninety-five billion, two hundred seventy-three million, twenty-five thousand, one hundred twenty".