11527935552 has 336 divisors, whose sum is σ = 41472063360. Its totient is φ = 3099451392.

The previous prime is 11527935541. The next prime is 11527935619. The reversal of 11527935552 is 25553972511.

11527935552 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 7 + 93 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 11527935498 and 11527935507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1847574 + ... + 1853802.

It is an arithmetic number, because the mean of its divisors is an integer number (123428760).

Almost surely, 2^11527935552 is an apocalyptic number.

11527935552 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 11527935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736031680).

11527935552 is an abundant number, since it is smaller than the sum of its proper divisors (29944127808).

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

11527935552 is an equidigital number, since it uses as much as digits as its factorization.

11527935552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6258 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The spelling of 11527935552 in words is "eleven billion, five hundred twenty-seven million, nine hundred thirty-five thousand, five hundred fifty-two".