970885905696 has 384 divisors, whose sum is σ = 3312136396800. Its totient is φ = 270966850560.

The previous prime is 970885905683. The next prime is 970885905701. The reversal of 970885905696 is 696509588079.

970885905696 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 8 + 59 + 0 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46795101 + ... + 46815843.

It is an arithmetic number, because the mean of its divisors is an integer number (8625355200).

Almost surely, 2^970885905696 is an apocalyptic number.

970885905696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970885905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656068198400).

970885905696 is an abundant number, since it is smaller than the sum of its proper divisors (2341250491104).

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

970885905696 is a wasteful number, since it uses less digits than its factorization.

970885905696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20949 (or 20935 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 970885905696 in words is "nine hundred seventy billion, eight hundred eighty-five million, nine hundred five thousand, six hundred ninety-six".