13857742080 has 432 divisors, whose sum is σ = 59015349120. Its totient is φ = 2923610112.

The previous prime is 13857742051. The next prime is 13857742097. The reversal of 13857742080 is 8024775831.

13857742080 is a `hidden beast` number, since 1 + 3 + 85 + 77 + 420 + 80 = 666.

13857742080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041711 + ... + 1054929.

Almost surely, 2^13857742080 is an apocalyptic number.

13857742080 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 13857742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29507674560).

13857742080 is an abundant number, since it is smaller than the sum of its proper divisors (45157607040).

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

13857742080 is a wasteful number, since it uses less digits than its factorization.

13857742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13249 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13857742080 in words is "thirteen billion, eight hundred fifty-seven million, seven hundred forty-two thousand, eighty".