11828408256 has 84 divisors (see below), whose sum is σ = 38747437872. Its totient is φ = 3379544064.

The previous prime is 11828408231. The next prime is 11828408279. The reversal of 11828408256 is 65280482811.

11828408256 is a `hidden beast` number, since 118 + 284 + 0 + 8 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×11828408256² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462785 + ... + 1470848.

Almost surely, 2^11828408256 is an apocalyptic number.

11828408256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11828408256 is an abundant number, since it is smaller than the sum of its proper divisors (26919029616).

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

11828408256 is a wasteful number, since it uses less digits than its factorization.

11828408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933658 (or 2933645 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11828408256 in words is "eleven billion, eight hundred twenty-eight million, four hundred eight thousand, two hundred fifty-six".