960097058400 has 72 divisors (see below), whose sum is σ = 3125115932904. Its totient is φ = 256025881600.

The previous prime is 960097058399. The next prime is 960097058411. The reversal of 960097058400 is 4850790069.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 960097058400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200017821 + ... + 200022620.

It is an arithmetic number, because the mean of its divisors is an integer number (43404387957).

Almost surely, 2^960097058400 is an apocalyptic number.

It is an amenable number.

960097058400 is an abundant number, since it is smaller than the sum of its proper divisors (2165018874504).

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

960097058400 is a wasteful number, since it uses less digits than its factorization.

960097058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400040464 (or 400040451 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 960097058400 in words is "nine hundred sixty billion, ninety-seven million, fifty-eight thousand, four hundred".