13839621120 has 880 divisors, whose sum is σ = 56924417088. Its totient is φ = 3185049600.

The previous prime is 13839621097. The next prime is 13839621127. The reversal of 13839621120 is 2112693831.

13839621120 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 9 + 621 + 1 + 20 = 666.

It is a super-2 number, since 2×13839621120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13839621127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91653045 + ... + 91653195.

Almost surely, 2^13839621120 is an apocalyptic number.

13839621120 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 13839621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28462208544).

13839621120 is an abundant number, since it is smaller than the sum of its proper divisors (43084795968).

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

13839621120 is a wasteful number, since it uses less digits than its factorization.

13839621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13839621120 in words is "thirteen billion, eight hundred thirty-nine million, six hundred twenty-one thousand, one hundred twenty".