13831534080 has 800 divisors, whose sum is σ = 61055717184. Its totient is φ = 2914320384.

The previous prime is 13831534061. The next prime is 13831534091. The reversal of 13831534080 is 8043513831.

13831534080 is a `hidden beast` number, since 13 + 8 + 31 + 534 + 0 + 80 = 666.

It is a super-2 number, since 2×13831534080² (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 79 ways as a sum of consecutive naturals, for example, 18869394 + ... + 18870126.

Almost surely, 2^13831534080 is an apocalyptic number.

13831534080 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 13831534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30527858592).

13831534080 is an abundant number, since it is smaller than the sum of its proper divisors (47224183104).

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

13831534080 is an equidigital number, since it uses as much as digits as its factorization.

13831534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13831534080 in words is "thirteen billion, eight hundred thirty-one million, five hundred thirty-four thousand, eighty".