11632681235552 has 96 divisors (see below), whose sum is σ = 25462642867200. Its totient is φ = 5195019317760.

The previous prime is 11632681235551. The next prime is 11632681235629. The reversal of 11632681235552 is 25553218623611.

It is a self number, because there is not a number n which added to its sum of digits gives 11632681235552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632681235551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99227723 + ... + 99344885.

It is an arithmetic number, because the mean of its divisors is an integer number (265235863200).

Almost surely, 2^{11632681235552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632681235552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731321433600).

11632681235552 is an abundant number, since it is smaller than the sum of its proper divisors (13829961631648).

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

11632681235552 is a wasteful number, since it uses less digits than its factorization.

11632681235552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124916 (or 124908 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 50.

The spelling of 11632681235552 in words is "eleven trillion, six hundred thirty-two billion, six hundred eighty-one million, two hundred thirty-five thousand, five hundred fifty-two".