11557529952 has 96 divisors (see below), whose sum is σ = 30884281344. Its totient is φ = 3783628800.

The previous prime is 11557529939. The next prime is 11557529999. The reversal of 11557529952 is 25992575511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11557529895 and 11557529904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844008 + ... + 1850264.

It is an arithmetic number, because the mean of its divisors is an integer number (321711264).

Almost surely, 2^11557529952 is an apocalyptic number.

11557529952 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 11557529952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442140672).

11557529952 is an abundant number, since it is smaller than the sum of its proper divisors (19326751392).

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

11557529952 is a wasteful number, since it uses less digits than its factorization.

11557529952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6604 counting only the distinct ones).

The product of its digits is 1417500, while the sum is 51.

The spelling of 11557529952 in words is "eleven billion, five hundred fifty-seven million, five hundred twenty-nine thousand, nine hundred fifty-two".