11656952784 has 160 divisors (see below), whose sum is σ = 34265664000. Its totient is φ = 3792531456.

The previous prime is 11656952773. The next prime is 11656952849. The reversal of 11656952784 is 48725965611.

It is a happy number.

11656952784 is a `hidden beast` number, since 1 + 1 + 6 + 569 + 5 + 2 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11656952784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11552472 + ... + 11553480.

It is an arithmetic number, because the mean of its divisors is an integer number (214160400).

Almost surely, 2^11656952784 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 11656952784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132832000).

11656952784 is an abundant number, since it is smaller than the sum of its proper divisors (22608711216).

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

11656952784 is a wasteful number, since it uses less digits than its factorization.

11656952784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1630 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 11656952784 in words is "eleven billion, six hundred fifty-six million, nine hundred fifty-two thousand, seven hundred eighty-four".