13857338880 has 960 divisors, whose sum is σ = 61220510208. Its totient is φ = 2813460480.

The previous prime is 13857338857. The next prime is 13857338881. The reversal of 13857338880 is 8883375831.

13857338880 is a `hidden beast` number, since 1 + 38 + 573 + 38 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13857338881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129507787 + ... + 129507893.

Almost surely, 2^13857338880 is an apocalyptic number.

13857338880 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 13857338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610255104).

13857338880 is an abundant number, since it is smaller than the sum of its proper divisors (47363171328).

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

13857338880 is a wasteful number, since it uses less digits than its factorization.

13857338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13857338880 in words is "thirteen billion, eight hundred fifty-seven million, three hundred thirty-eight thousand, eight hundred eighty".