13457380680 has 96 divisors (see below), whose sum is σ = 43797499200. Its totient is φ = 3583628928.

The previous prime is 13457380649. The next prime is 13457380681. The reversal of 13457380680 is 8608375431.

13457380680 is a `hidden beast` number, since 13 + 4 + 573 + 8 + 0 + 68 + 0 = 666.

It is a super-2 number, since 2×13457380680² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13457380681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236011 + ... + 287429.

It is an arithmetic number, because the mean of its divisors is an integer number (456223950).

Almost surely, 2^13457380680 is an apocalyptic number.

13457380680 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 13457380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898749600).

13457380680 is an abundant number, since it is smaller than the sum of its proper divisors (30340118520).

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

13457380680 is a wasteful number, since it uses less digits than its factorization.

13457380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52163 (or 52156 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13457380680 in words is "thirteen billion, four hundred fifty-seven million, three hundred eighty thousand, six hundred eighty".