13870368000 has 432 divisors, whose sum is σ = 52864143696. Its totient is φ = 3479961600.

The previous prime is 13870367999. The next prime is 13870368067. The reversal of 13870368000 is 86307831.

It can be written as a sum of positive squares in 8 ways, for example, as 3328828416 + 10541539584 = 57696^2 + 102672^2 .

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 47 ways as a sum of consecutive naturals, for example, 4894584 + ... + 4897416.

It is an arithmetic number, because the mean of its divisors is an integer number (122370703).

Almost surely, 2^13870368000 is an apocalyptic number.

13870368000 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 13870368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26432071848).

13870368000 is an abundant number, since it is smaller than the sum of its proper divisors (38993775696).

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

13870368000 is a wasteful number, since it uses less digits than its factorization.

13870368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13870368000 in words is "thirteen billion, eight hundred seventy million, three hundred sixty-eight thousand".