13069782000 has 320 divisors, whose sum is σ = 51077445120. Its totient is φ = 3168288000.

The previous prime is 13069781969. The next prime is 13069782023. The reversal of 13069782000 is 28796031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582999 + ... + 605001.

It is an arithmetic number, because the mean of its divisors is an integer number (159617016).

Almost surely, 2^13069782000 is an apocalyptic number.

13069782000 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 13069782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25538722560).

13069782000 is an abundant number, since it is smaller than the sum of its proper divisors (38007663120).

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

13069782000 is a wasteful number, since it uses less digits than its factorization.

13069782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22046 (or 22024 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13069782000 in words is "thirteen billion, sixty-nine million, seven hundred eighty-two thousand".