11580700774400 has 78 divisors (see below), whose sum is σ = 28716632298222. Its totient is φ = 4632280268800.

The previous prime is 11580700774301. The next prime is 11580700774411. The reversal of 11580700774400 is 447700708511.

It can be written as a sum of positive squares in 3 ways, for example, as 126212509696 + 11454488264704 = 355264^2 + 3384448^2 .

It is a super-3 number, since 3×11580700774400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56443991 + ... + 56648790.

Almost surely, 2^{11580700774400} is an apocalyptic number.

11580700774400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11580700774400 is an abundant number, since it is smaller than the sum of its proper divisors (17135931523822).

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

11580700774400 is an equidigital number, since it uses as much as digits as its factorization.

11580700774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113092815 (or 113092788 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 44.

The spelling of 11580700774400 in words is "eleven trillion, five hundred eighty billion, seven hundred million, seven hundred seventy-four thousand, four hundred".