95013993120 has 576 divisors, whose sum is σ = 335476391040. Its totient is φ = 22524272640.

The previous prime is 95013993059. The next prime is 95013993131. The reversal of 95013993120 is 2139931059.

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, 324279694 + ... + 324279986.

It is an arithmetic number, because the mean of its divisors is an integer number (582424290).

Almost surely, 2^95013993120 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 95013993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167738195520).

95013993120 is an abundant number, since it is smaller than the sum of its proper divisors (240462397920).

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

95013993120 is a wasteful number, since it uses less digits than its factorization.

95013993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The spelling of 95013993120 in words is "ninety-five billion, thirteen million, nine hundred ninety-three thousand, one hundred twenty".