70957986960 has 160 divisors (see below), whose sum is σ = 252059581440. Its totient is φ = 16176029184.

The previous prime is 70957986959. The next prime is 70957987019. The reversal of 70957986960 is 6968975907.

It is a junction number, because it is equal to n+sod(n) for n = 70957986891 and 70957986900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580999 + ... + 692441.

It is an arithmetic number, because the mean of its divisors is an integer number (1575372384).

Almost surely, 2^70957986960 is an apocalyptic number.

70957986960 is a gapful number since it is divisible by the number (70) 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 70957986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126029790720).

70957986960 is an abundant number, since it is smaller than the sum of its proper divisors (181101594480).

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

70957986960 is a wasteful number, since it uses less digits than its factorization.

70957986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111845 (or 111839 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The spelling of 70957986960 in words is "seventy billion, nine hundred fifty-seven million, nine hundred eighty-six thousand, nine hundred sixty".