13072484880 has 480 divisors, whose sum is σ = 56882192640. Its totient is φ = 2612736000.

The previous prime is 13072484879. The next prime is 13072484897. The reversal of 13072484880 is 8848427031.

It is a super-2 number, since 2×13072484880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1239630 + ... + 1250130.

It is an arithmetic number, because the mean of its divisors is an integer number (118504568).

Almost surely, 2^13072484880 is an apocalyptic number.

13072484880 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 13072484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28441096320).

13072484880 is an abundant number, since it is smaller than the sum of its proper divisors (43809707760).

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

13072484880 is a wasteful number, since it uses less digits than its factorization.

13072484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 13072484880 in words is "thirteen billion, seventy-two million, four hundred eighty-four thousand, eight hundred eighty".