13036579920 has 240 divisors, whose sum is σ = 53884801152. Its totient is φ = 2750561280.

The previous prime is 13036579901. The next prime is 13036579943. The reversal of 13036579920 is 2997563031.

13036579920 is a `hidden beast` number, since 130 + 365 + 79 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 33966 + ... + 165005.

Almost surely, 2^13036579920 is an apocalyptic number.

13036579920 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 13036579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26942400576).

13036579920 is an abundant number, since it is smaller than the sum of its proper divisors (40848221232).

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

13036579920 is a wasteful number, since it uses less digits than its factorization.

13036579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199010 (or 199001 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 13036579920 in words is "thirteen billion, thirty-six million, five hundred seventy-nine thousand, nine hundred twenty".