96953395840 has 128 divisors (see below), whose sum is σ = 265499308800. Its totient is φ = 33164771328.

The previous prime is 96953395831. The next prime is 96953395927. The reversal of 96953395840 is 4859335969.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942072 + ... + 1991368.

It is an arithmetic number, because the mean of its divisors is an integer number (2074213350).

Almost surely, 2^96953395840 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 96953395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132749654400).

96953395840 is an abundant number, since it is smaller than the sum of its proper divisors (168545912960).

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

96953395840 is a wasteful number, since it uses less digits than its factorization.

96953395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49762 (or 49750 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 61.

The spelling of 96953395840 in words is "ninety-six billion, nine hundred fifty-three million, three hundred ninety-five thousand, eight hundred forty".