13590788120 has 256 divisors, whose sum is σ = 39767777280. Its totient is φ = 4064256000.

The previous prime is 13590788083. The next prime is 13590788129. The reversal of 13590788120 is 2188709531.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13590788129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4850720 + ... + 4853520.

It is an arithmetic number, because the mean of its divisors is an integer number (155342880).

Almost surely, 2^13590788120 is an apocalyptic number.

13590788120 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 13590788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883888640).

13590788120 is an abundant number, since it is smaller than the sum of its proper divisors (26176989160).

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

13590788120 is a wasteful number, since it uses less digits than its factorization.

13590788120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 13590788120 in words is "thirteen billion, five hundred ninety million, seven hundred eighty-eight thousand, one hundred twenty".