16970880100480 has 64 divisors (see below), whose sum is σ = 40576527149400. Its totient is φ = 6787428950016.

The previous prime is 16970880100457. The next prime is 16970880100511. The reversal of 16970880100480 is 8400108807961.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14835377195584 + 2135502904896 = 3851672^2 + 1461336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2916934 + ... + 6515386.

Almost surely, 2^{16970880100480} is an apocalyptic number.

16970880100480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16970880100480 is an abundant number, since it is smaller than the sum of its proper divisors (23605647048920).

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

16970880100480 is an equidigital number, since it uses as much as digits as its factorization.

16970880100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605841 (or 3605829 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 16970880100480 in words is "sixteen trillion, nine hundred seventy billion, eight hundred eighty million, one hundred thousand, four hundred eighty".