11582402832 has 540 divisors, whose sum is σ = 44592775344. Its totient is φ = 2773854720.

The previous prime is 11582402801. The next prime is 11582402833. The reversal of 11582402832 is 23820428511.

It is a happy number.

11582402832 is a `hidden beast` number, since 1 + 1 + 582 + 40 + 2 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11582402833) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13116663 + ... + 13117545.

Almost surely, 2^11582402832 is an apocalyptic number.

11582402832 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 11582402832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296387672).

11582402832 is an abundant number, since it is smaller than the sum of its proper divisors (33010372512).

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

11582402832 is a wasteful number, since it uses less digits than its factorization.

11582402832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

It can be divided in two parts, 11582 and 402832, that added together give a palindrome (414414).

The spelling of 11582402832 in words is "eleven billion, five hundred eighty-two million, four hundred two thousand, eight hundred thirty-two".