13720091580 has 384 divisors, whose sum is σ = 47807504640. Its totient is φ = 3244769280.

The previous prime is 13720091573. The next prime is 13720091639. The reversal of 13720091580 is 8519002731.

13720091580 is a `hidden beast` number, since 1 + 3 + 72 + 0 + 0 + 9 + 1 + 580 = 666.

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

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, 21010534 + ... + 21011186.

It is an arithmetic number, because the mean of its divisors is an integer number (124498710).

Almost surely, 2^13720091580 is an apocalyptic number.

13720091580 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 13720091580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23903752320).

13720091580 is an abundant number, since it is smaller than the sum of its proper divisors (34087413060).

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

13720091580 is a wasteful number, since it uses less digits than its factorization.

13720091580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 13720091580 in words is "thirteen billion, seven hundred twenty million, ninety-one thousand, five hundred eighty".