11557621575552 has 128 divisors (see below), whose sum is σ = 33129360552960. Its totient is φ = 3548888266752.

The previous prime is 11557621575541. The next prime is 11557621575553. The reversal of 11557621575552 is 25557512675511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11557621575492 and 11557621575501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557621575553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54073 + ... + 4808135.

It is an arithmetic number, because the mean of its divisors is an integer number (258823129320).

Almost surely, 2^{11557621575552} is an apocalyptic number.

11557621575552 is a gapful number since it is divisible by the number (12) 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 11557621575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564680276480).

11557621575552 is an abundant number, since it is smaller than the sum of its proper divisors (21571738977408).

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

11557621575552 is a wasteful number, since it uses less digits than its factorization.

11557621575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754580 (or 4754568 counting only the distinct ones).

The product of its digits is 18375000, while the sum is 57.

The spelling of 11557621575552 in words is "eleven trillion, five hundred fifty-seven billion, six hundred twenty-one million, five hundred seventy-five thousand, five hundred fifty-two".