11401520256 has 512 divisors, whose sum is σ = 41486745600. Its totient is φ = 3010867200.

The previous prime is 11401520243. The next prime is 11401520261. The reversal of 11401520256 is 65202510411.

11401520256 is a `hidden beast` number, since 1 + 1 + 401 + 5 + 2 + 0 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17248566 + ... + 17249226.

It is an arithmetic number, because the mean of its divisors is an integer number (81028800).

Almost surely, 2^11401520256 is an apocalyptic number.

11401520256 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 11401520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743372800).

11401520256 is an abundant number, since it is smaller than the sum of its proper divisors (30085225344).

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

11401520256 is a wasteful number, since it uses less digits than its factorization.

11401520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11401520256 in words is "eleven billion, four hundred one million, five hundred twenty thousand, two hundred fifty-six".