17961360400 has 45 divisors (see below), whose sum is σ = 43158608983. Its totient is φ = 7183472000.

The previous prime is 17961360349. The next prime is 17961360427. The reversal of 17961360400 is 406316971.

The square root of 17961360400 is 134020.

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 1015569424 + 16945790976 = 31868^2 + 130176^2 .

It is a super-2 number, since 2×17961360400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17961360400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2677050 + ... + 2683750.

Almost surely, 2^17961360400 is an apocalyptic number.

17961360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17961360400 is the 134020-th square number.

It is an amenable number.

17961360400 is an abundant number, since it is smaller than the sum of its proper divisors (25197248583).

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

17961360400 is an frugal number, since it uses more digits than its factorization.

17961360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 17961360400 in words is "seventeen billion, nine hundred sixty-one million, three hundred sixty thousand, four hundred".