13079776320 has 784 divisors, whose sum is σ = 53170165440. Its totient is φ = 3036745728.

The previous prime is 13079776313. The next prime is 13079776327. The reversal of 13079776320 is 2367797031.

13079776320 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 9 + 7 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13079776313) and next prime (13079776327).

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

It is not an unprimeable number, because it can be changed into a prime (13079776327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57620047 + ... + 57620273.

Almost surely, 2^13079776320 is an apocalyptic number.

13079776320 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 13079776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585082720).

13079776320 is an abundant number, since it is smaller than the sum of its proper divisors (40090389120).

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

13079776320 is a wasteful number, since it uses less digits than its factorization.

13079776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 13079776320 in words is "thirteen billion, seventy-nine million, seven hundred seventy-six thousand, three hundred twenty".