11256779520 has 1152 divisors, whose sum is σ = 50233344000. Its totient is φ = 2329067520.

The previous prime is 11256779503. The next prime is 11256779537. The reversal of 11256779520 is 2597765211.

11256779520 is a `hidden beast` number, since 1 + 1 + 2 + 56 + 7 + 79 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (11256779503) and next prime (11256779537).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142490841 + ... + 142490919.

Almost surely, 2^11256779520 is an apocalyptic number.

11256779520 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 11256779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116672000).

11256779520 is an abundant number, since it is smaller than the sum of its proper divisors (38976564480).

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

11256779520 is a wasteful number, since it uses less digits than its factorization.

11256779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 11256779520 in words is "eleven billion, two hundred fifty-six million, seven hundred seventy-nine thousand, five hundred twenty".