11977113600 has 675 divisors, whose sum is σ = 46828335477. Its totient is φ = 3025797120.

The previous prime is 11977113557. The next prime is 11977113667. The reversal of 11977113600 is 631177911.

The square root of 11977113600 is 109440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4311760896 + 7665352704 = 65664^2 + 87552^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 630374391 + ... + 630374409.

Almost surely, 2^11977113600 is an apocalyptic number.

11977113600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11977113600 is the 109440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11977113600

11977113600 is an abundant number, since it is smaller than the sum of its proper divisors (34851221877).

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

11977113600 is an frugal number, since it uses more digits than its factorization.

11977113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

Multiplying 11977113600 by its sum of digits (36), we get a square (431176089600 = 656640²).

11977113600 divided by its sum of digits (36) gives a square (332697600 = 18240²).

The spelling of 11977113600 in words is "eleven billion, nine hundred seventy-seven million, one hundred thirteen thousand, six hundred".