11552001451056 has 120 divisors (see below), whose sum is σ = 35315576325120. Its totient is φ = 3495944880000.

The previous prime is 11552001451043. The next prime is 11552001451079. The reversal of 11552001451056 is 65015410025511.

11552001451056 is a `hidden beast` number, since 1 + 1 + 552 + 0 + 0 + 1 + 4 + 51 + 0 + 56 = 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 11552001451056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3665896 + ... + 6045063.

It is an arithmetic number, because the mean of its divisors is an integer number (294296469376).

Almost surely, 2^{11552001451056} is an apocalyptic number.

11552001451056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11552001451056 is an abundant number, since it is smaller than the sum of its proper divisors (23763574874064).

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

11552001451056 is a wasteful number, since it uses less digits than its factorization.

11552001451056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711735 (or 9711726 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 11552001451056 its reverse (65015410025511), we get a palindrome (76567411476567).

The spelling of 11552001451056 in words is "eleven trillion, five hundred fifty-two billion, one million, four hundred fifty-one thousand, fifty-six".