11553300052668 has 72 divisors (see below), whose sum is σ = 31862358143616. Its totient is φ = 3500641994400.

The previous prime is 11553300052661. The next prime is 11553300052709. The reversal of 11553300052668 is 86625000335511.

11553300052668 is a `hidden beast` number, since 1 + 1 + 5 + 533 + 0 + 0 + 0 + 52 + 6 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553300052661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2398305 + ... + 5372007.

Almost surely, 2^{11553300052668} is an apocalyptic number.

11553300052668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11553300052668 is an abundant number, since it is smaller than the sum of its proper divisors (20309058090948).

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

11553300052668 is a wasteful number, since it uses less digits than its factorization.

11553300052668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983535 (or 2983530 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11553300052668 in words is "eleven trillion, five hundred fifty-three billion, three hundred million, fifty-two thousand, six hundred sixty-eight".