95051988864 has 1152 divisors, whose sum is σ = 366179673600. Its totient is φ = 23944605696.

The previous prime is 95051988833. The next prime is 95051988869. The reversal of 95051988864 is 46888915059.

95051988864 is a `hidden beast` number, since 9 + 50 + 519 + 8 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95051988869) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2568972654 + ... + 2568972690.

It is an arithmetic number, because the mean of its divisors is an integer number (317864300).

Almost surely, 2^95051988864 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 95051988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183089836800).

95051988864 is an abundant number, since it is smaller than the sum of its proper divisors (271127684736).

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

95051988864 is an equidigital number, since it uses as much as digits as its factorization.

95051988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 95051988864 in words is "ninety-five billion, fifty-one million, nine hundred eighty-eight thousand, eight hundred sixty-four".