1080892915600 has 135 divisors (see below), whose sum is σ = 2619775322067. Its totient is φ = 428572803840.

The previous prime is 1080892915589. The next prime is 1080892915601. The reversal of 1080892915600 is 65192980801.

The square root of 1080892915600 is 1039660.

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 147520519056 + 933372396544 = 384084^2 + 966112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1080892915601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4720056286 + ... + 4720056514.

Almost surely, 2^{1080892915600} is an apocalyptic number.

1080892915600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1080892915600 is the 1039660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080892915600

1080892915600 is an abundant number, since it is smaller than the sum of its proper divisors (1538882406467).

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

1080892915600 is an frugal number, since it uses more digits than its factorization.

1080892915600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

Multiplying 1080892915600 by its sum of digits (49), we get a square (52963752864400 = 7277620²).

The spelling of 1080892915600 in words is "one trillion, eighty billion, eight hundred ninety-two million, nine hundred fifteen thousand, six hundred".