11552720256 has 640 divisors, whose sum is σ = 44431200000. Its totient is φ = 2891427840.

The previous prime is 11552720237. The next prime is 11552720317. The reversal of 11552720256 is 65202725511.

11552720256 is a `hidden beast` number, since 11 + 552 + 72 + 0 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11552720256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23151495 + ... + 23151993.

It is an arithmetic number, because the mean of its divisors is an integer number (69423750).

Almost surely, 2^11552720256 is an apocalyptic number.

11552720256 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 11552720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600000).

11552720256 is an abundant number, since it is smaller than the sum of its proper divisors (32878479744).

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

11552720256 is a wasteful number, since it uses less digits than its factorization.

11552720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 11552720256 in words is "eleven billion, five hundred fifty-two million, seven hundred twenty thousand, two hundred fifty-six".