13287628800 has 588 divisors, whose sum is σ = 49959467010. Its totient is φ = 3503554560.

The previous prime is 13287628751. The next prime is 13287628801. The reversal of 13287628800 is 882678231.

13287628800 is a `hidden beast` number, since 13 + 2 + 8 + 7 + 628 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7766544384 + 5521084416 = 88128^2 + 74304^2 .

It is a super-2 number, since 2×13287628800² (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 (13287628801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 149299156 + ... + 149299244.

Almost surely, 2^13287628800 is an apocalyptic number.

13287628800 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 13287628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24979733505).

13287628800 is an abundant number, since it is smaller than the sum of its proper divisors (36671838210).

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

13287628800 is an frugal number, since it uses more digits than its factorization.

13287628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13287628800 in words is "thirteen billion, two hundred eighty-seven million, six hundred twenty-eight thousand, eight hundred".