13877540400 has 60 divisors (see below), whose sum is σ = 44454391592. Its totient is φ = 3700677120.

The previous prime is 13877540393. The next prime is 13877540401. The reversal of 13877540400 is 404577831.

13877540400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13877540400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13877540401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5781109 + ... + 5783508.

Almost surely, 2^13877540400 is an apocalyptic number.

13877540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13877540400 is an abundant number, since it is smaller than the sum of its proper divisors (30576851192).

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

13877540400 is a wasteful number, since it uses less digits than its factorization.

13877540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564638 (or 11564627 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 13877540400 in words is "thirteen billion, eight hundred seventy-seven million, five hundred forty thousand, four hundred".