95749125120 has 1056 divisors, whose sum is σ = 388471209984. Its totient is φ = 21572812800.

The previous prime is 95749125119. The next prime is 95749125181. The reversal of 95749125120 is 2152194759.

95749125120 is a `hidden beast` number, since 9 + 574 + 9 + 1 + 2 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×95749125120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501304225 + ... + 501304415.

It is an arithmetic number, because the mean of its divisors is an integer number (367870464).

Almost surely, 2^95749125120 is an apocalyptic number.

95749125120 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 95749125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194235604992).

95749125120 is an abundant number, since it is smaller than the sum of its proper divisors (292722084864).

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

95749125120 is a wasteful number, since it uses less digits than its factorization.

95749125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 95749125120 in words is "ninety-five billion, seven hundred forty-nine million, one hundred twenty-five thousand, one hundred twenty".