95928985152 has 896 divisors, whose sum is σ = 391080345600. Its totient is φ = 22245580800.

The previous prime is 95928985081. The next prime is 95928985169. The reversal of 95928985152 is 25158982959.

95928985152 is a `hidden beast` number, since 9 + 5 + 9 + 28 + 98 + 515 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 95928985152.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53620674 + ... + 53622462.

It is an arithmetic number, because the mean of its divisors is an integer number (436473600).

Almost surely, 2^95928985152 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 95928985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195540172800).

95928985152 is an abundant number, since it is smaller than the sum of its proper divisors (295151360448).

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

95928985152 is a wasteful number, since it uses less digits than its factorization.

95928985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1856 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 63.

The spelling of 95928985152 in words is "ninety-five billion, nine hundred twenty-eight million, nine hundred eighty-five thousand, one hundred fifty-two".