13750832160 has 480 divisors, whose sum is σ = 55347736752. Its totient is φ = 3185049600.

The previous prime is 13750832119. The next prime is 13750832189. The reversal of 13750832160 is 6123805731.

13750832160 is a `hidden beast` number, since 137 + 508 + 3 + 2 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5786340624 + 7964491536 = 76068^2 + 89244^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 2861760 + ... + 2866560.

Almost surely, 2^13750832160 is an apocalyptic number.

13750832160 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 13750832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673868376).

13750832160 is an abundant number, since it is smaller than the sum of its proper divisors (41596904592).

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

13750832160 is a wasteful number, since it uses less digits than its factorization.

13750832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13750832160 in words is "thirteen billion, seven hundred fifty million, eight hundred thirty-two thousand, one hundred sixty".