860660742480400 has 135 divisors (see below), whose sum is σ = 2081214379750311. Its totient is φ = 342034918168320.

The previous prime is 860660742480373. The next prime is 860660742480563. The reversal of 860660742480400 is 4084247066068.

The square root of 860660742480400 is 29337020.

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 104092148933136 + 756568593547264 = 10202556^2 + 27505792^2 .

It is a Duffinian number.

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, 92118238129 + ... + 92118247471.

Almost surely, 2^{860660742480400} is an apocalyptic number.

860660742480400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

860660742480400 is the 29337020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860660742480400

860660742480400 is an abundant number, since it is smaller than the sum of its proper divisors (1220553637269911).

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

860660742480400 is an frugal number, since it uses more digits than its factorization.

860660742480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19018 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 860660742480400 in words is "eight hundred sixty trillion, six hundred sixty billion, seven hundred forty-two million, four hundred eighty thousand, four hundred".