972857404160 has 144 divisors (see below), whose sum is σ = 2444612063040. Its totient is φ = 370431344640.

The previous prime is 972857404153. The next prime is 972857404177. The reversal of 972857404160 is 61404758279.

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, 2450954 + ... + 2820086.

It is an arithmetic number, because the mean of its divisors is an integer number (16976472660).

Almost surely, 2^972857404160 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 972857404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222306031520).

972857404160 is an abundant number, since it is smaller than the sum of its proper divisors (1471754658880).

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

972857404160 is a wasteful number, since it uses less digits than its factorization.

972857404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369254 (or 369240 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 972857404160 in words is "nine hundred seventy-two billion, eight hundred fifty-seven million, four hundred four thousand, one hundred sixty".