13377235600 has 45 divisors (see below), whose sum is σ = 32144366953. Its totient is φ = 5349968960.

The previous prime is 13377235567. The next prime is 13377235607. The reversal of 13377235600 is 653277331.

The square root of 13377235600 is 115660.

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., 4815804816 + 8561430784 = 69396^2 + 92528^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13377235600.

It is not an unprimeable number, because it can be changed into a prime (13377235607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2310309 + ... + 2316091.

Almost surely, 2^13377235600 is an apocalyptic number.

13377235600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13377235600 is the 115660-th square number.

It is an amenable number.

13377235600 is an abundant number, since it is smaller than the sum of its proper divisors (18767131353).

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

13377235600 is an frugal number, since it uses more digits than its factorization.

13377235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 37.

The spelling of 13377235600 in words is "thirteen billion, three hundred seventy-seven million, two hundred thirty-five thousand, six hundred".