13606405920 has 672 divisors, whose sum is σ = 51402968064. Its totient is φ = 3396556800.

The previous prime is 13606405909. The next prime is 13606405921. The reversal of 13606405920 is 2950460631.

It is a happy number.

13606405920 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 64 + 0 + 592 + 0 = 666.

It is a super-2 number, since 2×13606405920² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13606405921) 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, 191639485 + ... + 191639555.

It is an arithmetic number, because the mean of its divisors is an integer number (76492512).

Almost surely, 2^13606405920 is an apocalyptic number.

13606405920 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 13606405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25701484032).

13606405920 is an abundant number, since it is smaller than the sum of its proper divisors (37796562144).

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

13606405920 is an equidigital number, since it uses as much as digits as its factorization.

13606405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13606405920 in words is "thirteen billion, six hundred six million, four hundred five thousand, nine hundred twenty".