11633952552 has 128 divisors (see below), whose sum is σ = 31684608000. Its totient is φ = 3548920320.

The previous prime is 11633952487. The next prime is 11633952557. The reversal of 11633952552 is 25525933611.

It is not an unprimeable number, because it can be changed into a prime (11633952557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519149 + ... + 1526787.

It is an arithmetic number, because the mean of its divisors is an integer number (247536000).

Almost surely, 2^11633952552 is an apocalyptic number.

11633952552 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 11633952552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842304000).

11633952552 is an abundant number, since it is smaller than the sum of its proper divisors (20050655448).

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

11633952552 is a wasteful number, since it uses less digits than its factorization.

11633952552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7787 counting only the distinct ones).

The product of its digits is 243000, while the sum is 42.

The spelling of 11633952552 in words is "eleven billion, six hundred thirty-three million, nine hundred fifty-two thousand, five hundred fifty-two".