13405190256 has 160 divisors (see below), whose sum is σ = 39348939840. Its totient is φ = 4422988800.

The previous prime is 13405190171. The next prime is 13405190261. The reversal of 13405190256 is 65209150431.

13405190256 is a `hidden beast` number, since 13 + 405 + 190 + 2 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13405190256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3532296 + ... + 3536088.

It is an arithmetic number, because the mean of its divisors is an integer number (245930874).

Almost surely, 2^13405190256 is an apocalyptic number.

13405190256 is a gapful number since it is divisible by the number (16) 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 13405190256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674469920).

13405190256 is an abundant number, since it is smaller than the sum of its proper divisors (25943749584).

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

13405190256 is an equidigital number, since it uses as much as digits as its factorization.

13405190256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13405190256 in words is "thirteen billion, four hundred five million, one hundred ninety thousand, two hundred fifty-six".