16760958820225 has 81 divisors (see below), whose sum is σ = 21884025921147. Its totient is φ = 12734024256000.

The previous prime is 16760958820219. The next prime is 16760958820241. The reversal of 16760958820225 is 52202885906761.

The square root of 16760958820225 is 4094015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14164812922689 + 2596145897536 = 3763617^2 + 1611256^2 .

It is not a de Polignac number, because 16760958820225 - 2²⁷ = 16760824602497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38708911609 + ... + 38708912041.

Almost surely, 2^{16760958820225} is an apocalyptic number.

16760958820225 is the 4094015-th square number.

16760958820225 is the 2047008-th centered octagonal number.

It is an amenable number.

16760958820225 is a deficient number, since it is larger than the sum of its proper divisors (5123067100922).

16760958820225 is an frugal number, since it uses more digits than its factorization.

16760958820225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 16760958820225 in words is "sixteen trillion, seven hundred sixty billion, nine hundred fifty-eight million, eight hundred twenty thousand, two hundred twenty-five".