13821292320 has 192 divisors, whose sum is σ = 47561665536. Its totient is φ = 3345914880.

The previous prime is 13821292297. The next prime is 13821292321. The reversal of 13821292320 is 2329212831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13821292321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5104407 + ... + 5107113.

It is an arithmetic number, because the mean of its divisors is an integer number (247717008).

Almost surely, 2^13821292320 is an apocalyptic number.

13821292320 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 13821292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780832768).

13821292320 is an abundant number, since it is smaller than the sum of its proper divisors (33740373216).

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

13821292320 is a wasteful number, since it uses less digits than its factorization.

13821292320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 13821292320 in words is "thirteen billion, eight hundred twenty-one million, two hundred ninety-two thousand, three hundred twenty".