11183432725920 has 768 divisors, whose sum is σ = 44900124208128. Its totient is φ = 2277080432640.

The previous prime is 11183432725901. The next prime is 11183432725937. The reversal of 11183432725920 is 2952723438111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11183432725920.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141177844 + ... + 141257036.

It is an arithmetic number, because the mean of its divisors is an integer number (58463703396).

Almost surely, 2^{11183432725920} is an apocalyptic number.

11183432725920 is a gapful number since it is divisible by the number (10) 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 11183432725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450062104064).

11183432725920 is an abundant number, since it is smaller than the sum of its proper divisors (33716691482208).

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

11183432725920 is a wasteful number, since it uses less digits than its factorization.

11183432725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79345 (or 79337 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 11183432725920 in words is "eleven trillion, one hundred eighty-three billion, four hundred thirty-two million, seven hundred twenty-five thousand, nine hundred twenty".