1163982054400 has 297 divisors, whose sum is σ = 3176590092123. Its totient is φ = 422575718400.

The previous prime is 1163982054373. The next prime is 1163982054413. The reversal of 1163982054400 is 44502893611.

The square root of 1163982054400 is 1078880.

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 680189469696 + 483792584704 = 824736^2 + 695552^2 .

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, 1898828494 + ... + 1898829106.

Almost surely, 2^{1163982054400} is an apocalyptic number.

1163982054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1163982054400 is the 1078880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163982054400

1163982054400 is an abundant number, since it is smaller than the sum of its proper divisors (2012608037723).

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

1163982054400 is an frugal number, since it uses more digits than its factorization.

1163982054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 1163982054400 in words is "one trillion, one hundred sixty-three billion, nine hundred eighty-two million, fifty-four thousand, four hundred".