11560256000 has 80 divisors (see below), whose sum is σ = 28826380440. Its totient is φ = 4624076800.

The previous prime is 11560255939. The next prime is 11560256011. The reversal of 11560256000 is 65206511.

It can be written as a sum of positive squares in 4 ways, for example, as 7763724544 + 3796531456 = 88112^2 + 61616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 26315 + ... + 154314.

Almost surely, 2^11560256000 is an apocalyptic number.

11560256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11560256000 is an abundant number, since it is smaller than the sum of its proper divisors (17266124440).

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

11560256000 is an frugal number, since it uses more digits than its factorization.

11560256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180662 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

It can be divided in two parts, 11560 and 256000, that multiplied together give a square (2959360000 = 54400²).

The spelling of 11560256000 in words is "eleven billion, five hundred sixty million, two hundred fifty-six thousand".