13029932160 has 384 divisors, whose sum is σ = 53330659200. Its totient is φ = 2978021376.

The previous prime is 13029932131. The next prime is 13029932189. The reversal of 13029932160 is 6123992031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13029932131) and next prime (13029932189).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082656 + ... + 1094624.

It is an arithmetic number, because the mean of its divisors is an integer number (138881925).

Almost surely, 2^13029932160 is an apocalyptic number.

13029932160 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 13029932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26665329600).

13029932160 is an abundant number, since it is smaller than the sum of its proper divisors (40300727040).

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

13029932160 is an equidigital number, since it uses as much as digits as its factorization.

13029932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13029932160 in words is "thirteen billion, twenty-nine million, nine hundred thirty-two thousand, one hundred sixty".