13657942080 has 336 divisors, whose sum is σ = 49740799680. Its totient is φ = 3433844736.

The previous prime is 13657942079. The next prime is 13657942117. The reversal of 13657942080 is 8024975631.

13657942080 is a `hidden beast` number, since 1 + 36 + 579 + 42 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3589459 + ... + 3593261.

It is a 1-persistent number, because it is pandigital, but 2⋅13657942080 = 27315884160 is not.

Almost surely, 2^13657942080 is an apocalyptic number.

13657942080 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 13657942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24870399840).

13657942080 is an abundant number, since it is smaller than the sum of its proper divisors (36082857600).

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

13657942080 is a wasteful number, since it uses less digits than its factorization.

13657942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13657942080 in words is "thirteen billion, six hundred fifty-seven million, nine hundred forty-two thousand, eighty".