95904281088 has 480 divisors, whose sum is σ = 349076407680. Its totient is φ = 24622202880.

The previous prime is 95904281071. The next prime is 95904281101. The reversal of 95904281088 is 88018240959.

95904281088 is a `hidden beast` number, since 9 + 590 + 42 + 8 + 1 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×95904281088² (a number of 23 digits) contains 22 as substring.

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, 31577106 + ... + 31580142.

It is an arithmetic number, because the mean of its divisors is an integer number (727242516).

Almost surely, 2^95904281088 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 95904281088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174538203840).

95904281088 is an abundant number, since it is smaller than the sum of its proper divisors (253172126592).

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

95904281088 is a wasteful number, since it uses less digits than its factorization.

95904281088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 95904281088 in words is "ninety-five billion, nine hundred four million, two hundred eighty-one thousand, eighty-eight".