11256157520 has 40 divisors (see below), whose sum is σ = 26464634280. Its totient is φ = 4451870720.

The previous prime is 11256157483. The next prime is 11256157541. The reversal of 11256157520 is 2575165211.

It can be written as a sum of positive squares in 4 ways, for example, as 1394873104 + 9861284416 = 37348^2 + 99304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783341 + ... + 797580.

It is an arithmetic number, because the mean of its divisors is an integer number (661615857).

Almost surely, 2^11256157520 is an apocalyptic number.

11256157520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11256157520 is an abundant number, since it is smaller than the sum of its proper divisors (15208476760).

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

11256157520 is a wasteful number, since it uses less digits than its factorization.

11256157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581023 (or 1581017 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 11256157520 in words is "eleven billion, two hundred fifty-six million, one hundred fifty-seven thousand, five hundred twenty".