970709160960 has 3168 divisors, whose sum is σ = 4796571012480. Its totient is φ = 179849134080.

The previous prime is 970709160947. The next prime is 970709161021. The reversal of 970709160960 is 69061907079.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a junction number, because it is equal to n+sod(n) for n = 970709160897 and 970709160906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51089955831 + ... + 51089955849.

Almost surely, 2^970709160960 is an apocalyptic number.

970709160960 is a gapful number since it is divisible by the number (90) 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 970709160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398285506240).

970709160960 is an abundant number, since it is smaller than the sum of its proper divisors (3825861851520).

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

970709160960 is a wasteful number, since it uses less digits than its factorization.

970709160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 970709160960 in words is "nine hundred seventy billion, seven hundred nine million, one hundred sixty thousand, nine hundred sixty".