13091787072 has 504 divisors, whose sum is σ = 48568246272. Its totient is φ = 3338496000.

The previous prime is 13091787061. The next prime is 13091787097. The reversal of 13091787072 is 27078719031.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11373697 + ... + 11374847.

It is an arithmetic number, because the mean of its divisors is an integer number (96365568).

Almost surely, 2^13091787072 is an apocalyptic number.

13091787072 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 13091787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284123136).

13091787072 is an abundant number, since it is smaller than the sum of its proper divisors (35476459200).

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

13091787072 is a wasteful number, since it uses less digits than its factorization.

13091787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 13091787072 in words is "thirteen billion, ninety-one million, seven hundred eighty-seven thousand, seventy-two".