13677755400 has 72 divisors (see below), whose sum is σ = 45934467930. Its totient is φ = 3647400960.

The previous prime is 13677755393. The next prime is 13677755419. The reversal of 13677755400 is 455777631.

13677755400 is a `hidden beast` number, since 1 + 36 + 7 + 7 + 75 + 540 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12765836196 + 911919204 = 112986^2 + 30198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3797577 + ... + 3801176.

Almost surely, 2^13677755400 is an apocalyptic number.

13677755400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677755400 is an abundant number, since it is smaller than the sum of its proper divisors (32256712530).

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

13677755400 is a wasteful number, since it uses less digits than its factorization.

13677755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598775 (or 7598763 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 13677755400 in words is "thirteen billion, six hundred seventy-seven million, seven hundred fifty-five thousand, four hundred".