13677838920 has 192 divisors, whose sum is σ = 47636709120. Its totient is φ = 3391383552.

The previous prime is 13677838873. The next prime is 13677838943. The reversal of 13677838920 is 2983877631.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494497 + ... + 521423.

It is an arithmetic number, because the mean of its divisors is an integer number (248107860).

Almost surely, 2^13677838920 is an apocalyptic number.

13677838920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13677838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23818354560).

13677838920 is an abundant number, since it is smaller than the sum of its proper divisors (33958870200).

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

13677838920 is a wasteful number, since it uses less digits than its factorization.

13677838920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27044 (or 27037 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13677838920 in words is "thirteen billion, six hundred seventy-seven million, eight hundred thirty-eight thousand, nine hundred twenty".