95972697600 has 960 divisors, whose sum is σ = 371325233664. Its totient is φ = 21634744320.

The previous prime is 95972697553. The next prime is 95972697619. The reversal of 95972697600 is 679627959.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 364915069 + ... + 364915331.

Almost surely, 2^95972697600 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 95972697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185662616832).

95972697600 is an abundant number, since it is smaller than the sum of its proper divisors (275352536064).

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

95972697600 is a wasteful number, since it uses less digits than its factorization.

95972697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 95972697600 in words is "ninety-five billion, nine hundred seventy-two million, six hundred ninety-seven thousand, six hundred".