13457808000 has 1152 divisors, whose sum is σ = 60567436800. Its totient is φ = 2803507200.

The previous prime is 13457807999. The next prime is 13457808011. The reversal of 13457808000 is 80875431.

13457808000 is a `hidden beast` number, since 1 + 3 + 4 + 578 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13457808000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 170351961 + ... + 170352039.

It is an arithmetic number, because the mean of its divisors is an integer number (52575900).

Almost surely, 2^13457808000 is an apocalyptic number.

13457808000 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 13457808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30283718400).

13457808000 is an abundant number, since it is smaller than the sum of its proper divisors (47109628800).

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

13457808000 is a wasteful number, since it uses less digits than its factorization.

13457808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13457808000 in words is "thirteen billion, four hundred fifty-seven million, eight hundred eight thousand".