13756731120 has 640 divisors, whose sum is σ = 56224972800. Its totient is φ = 3054412800.

The previous prime is 13756731103. The next prime is 13756731133. The reversal of 13756731120 is 2113765731.

It is a super-2 number, since 2×13756731120² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13994149 + ... + 13995131.

It is an arithmetic number, because the mean of its divisors is an integer number (87851520).

Almost surely, 2^13756731120 is an apocalyptic number.

13756731120 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 13756731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28112486400).

13756731120 is an abundant number, since it is smaller than the sum of its proper divisors (42468241680).

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

13756731120 is a wasteful number, since it uses less digits than its factorization.

13756731120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 13756731120 in words is "thirteen billion, seven hundred fifty-six million, seven hundred thirty-one thousand, one hundred twenty".