13029862272 has 128 divisors (see below), whose sum is σ = 40097391360. Its totient is φ = 3671764992.

The previous prime is 13029862271. The next prime is 13029862291. The reversal of 13029862272 is 27226892031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029862271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163023 + ... + 229425.

It is an arithmetic number, because the mean of its divisors is an integer number (313260870).

Almost surely, 2^13029862272 is an apocalyptic number.

13029862272 is a gapful number since it is divisible by the number (12) 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 13029862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048695680).

13029862272 is an abundant number, since it is smaller than the sum of its proper divisors (27067529088).

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

13029862272 is an equidigital number, since it uses as much as digits as its factorization.

13029862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66500 (or 66488 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 13029862272 in words is "thirteen billion, twenty-nine million, eight hundred sixty-two thousand, two hundred seventy-two".