95765401600 has 468 divisors, whose sum is σ = 267470224560. Its totient is φ = 33972224000.

The previous prime is 95765401597. The next prime is 95765401601. The reversal of 95765401600 is 610456759.

It is not an unprimeable number, because it can be changed into a prime (95765401601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 731033535 + ... + 731033665.

Almost surely, 2^95765401600 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 95765401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133735112280).

95765401600 is an abundant number, since it is smaller than the sum of its proper divisors (171704822960).

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

95765401600 is a wasteful number, since it uses less digits than its factorization.

95765401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 95765401600 in words is "ninety-five billion, seven hundred sixty-five million, four hundred one thousand, six hundred".