13072899840 has 1152 divisors, whose sum is σ = 59338137600. Its totient is φ = 2362245120.

The previous prime is 13072899839. The next prime is 13072899869. The reversal of 13072899840 is 4899827031.

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, 73032871 + ... + 73033049.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 2^13072899840 is an apocalyptic number.

13072899840 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 13072899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29669068800).

13072899840 is an abundant number, since it is smaller than the sum of its proper divisors (46265237760).

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

13072899840 is a wasteful number, since it uses less digits than its factorization.

13072899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 13072899840 in words is "thirteen billion, seventy-two million, eight hundred ninety-nine thousand, eight hundred forty".