13582880892 has 144 divisors (see below), whose sum is σ = 41608170240. Its totient is φ = 3649556736.

The previous prime is 13582880837. The next prime is 13582880923. The reversal of 13582880892 is 29808828531.

13582880892 is a `hidden beast` number, since 1 + 358 + 288 + 0 + 8 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645603 + ... + 666309.

Almost surely, 2^13582880892 is an apocalyptic number.

13582880892 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 13582880892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20804085120).

13582880892 is an abundant number, since it is smaller than the sum of its proper divisors (28025289348).

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

13582880892 is a wasteful number, since it uses less digits than its factorization.

13582880892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20880 (or 20875 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 13582880892 in words is "thirteen billion, five hundred eighty-two million, eight hundred eighty thousand, eight hundred ninety-two".