13009617720 has 192 divisors, whose sum is σ = 46644530400. Its totient is φ = 3118325760.

The previous prime is 13009617689. The next prime is 13009617757. The reversal of 13009617720 is 2771690031.

It is a happy number.

13009617720 is a `hidden beast` number, since 1 + 30 + 0 + 9 + 617 + 7 + 2 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 333984 + ... + 370896.

Almost surely, 2^13009617720 is an apocalyptic number.

13009617720 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 13009617720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23322265200).

13009617720 is an abundant number, since it is smaller than the sum of its proper divisors (33634912680).

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

13009617720 is a wasteful number, since it uses less digits than its factorization.

13009617720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37030 (or 37023 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13009617720 in words is "thirteen billion, nine million, six hundred seventeen thousand, seven hundred twenty".