95690949120 has 480 divisors, whose sum is σ = 377911405872. Its totient is φ = 22167945216.

The previous prime is 95690949089. The next prime is 95690949139. The reversal of 95690949120 is 2194909659.

95690949120 is a `hidden beast` number, since 95 + 69 + 0 + 9 + 491 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47929469184 + 47761479936 = 218928^2 + 218544^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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, 5082444 + ... + 5101236.

Almost surely, 2^95690949120 is an apocalyptic number.

95690949120 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 95690949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188955702936).

95690949120 is an abundant number, since it is smaller than the sum of its proper divisors (282220456752).

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

95690949120 is a wasteful number, since it uses less digits than its factorization.

95690949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18852 (or 18833 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 95690949120 in words is "ninety-five billion, six hundred ninety million, nine hundred forty-nine thousand, one hundred twenty".