13405906620 has 144 divisors (see below), whose sum is σ = 42235790688. Its totient is φ = 3569391360.

The previous prime is 13405906609. The next prime is 13405906643. The reversal of 13405906620 is 2660950431.

It is a happy number.

13405906620 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 590 + 6 + 62 + 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, 3871690 + ... + 3875150.

It is an arithmetic number, because the mean of its divisors is an integer number (293304102).

Almost surely, 2^13405906620 is an apocalyptic number.

13405906620 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 13405906620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117895344).

13405906620 is an abundant number, since it is smaller than the sum of its proper divisors (28829884068).

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

13405906620 is a wasteful number, since it uses less digits than its factorization.

13405906620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4268 counting only the distinct ones).

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

The spelling of 13405906620 in words is "thirteen billion, four hundred five million, nine hundred six thousand, six hundred twenty".