13782085632 has 416 divisors, whose sum is σ = 49172211200. Its totient is φ = 3726508032.

The previous prime is 13782085627. The next prime is 13782085721. The reversal of 13782085632 is 23658028731.

13782085632 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 2 + 0 + 8 + 5 + 632 = 666.

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, 14708268 + ... + 14709204.

Almost surely, 2^13782085632 is an apocalyptic number.

13782085632 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 13782085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586105600).

13782085632 is an abundant number, since it is smaller than the sum of its proper divisors (35390125568).

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

13782085632 is an equidigital number, since it uses as much as digits as its factorization.

13782085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13782085632 in words is "thirteen billion, seven hundred eighty-two million, eighty-five thousand, six hundred thirty-two".