16970272900 has 81 divisors (see below), whose sum is σ = 42860848527. Its totient is φ = 5815252800.

The previous prime is 16970272897. The next prime is 16970272961. The reversal of 16970272900 is 927207961.

The square root of 16970272900 is 130270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10322153604 + 6648119296 = 101598^2 + 81536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9117970 + ... + 9119830.

Almost surely, 2^16970272900 is an apocalyptic number.

16970272900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16970272900 is the 130270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16970272900

16970272900 is an abundant number, since it is smaller than the sum of its proper divisors (25890575627).

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

16970272900 is an equidigital number, since it uses as much as digits as its factorization.

16970272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 16970272900 in words is "sixteen billion, nine hundred seventy million, two hundred seventy-two thousand, nine hundred".