13387052800 has 324 divisors, whose sum is σ = 37164886920. Its totient is φ = 4769177600.

The previous prime is 13387052771. The next prime is 13387052879. The reversal of 13387052800 is 825078331.

13387052800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13387052800.

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 35 ways as a sum of consecutive naturals, for example, 45689454 + ... + 45689746.

Almost surely, 2^13387052800 is an apocalyptic number.

13387052800 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 13387052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582443460).

13387052800 is an abundant number, since it is smaller than the sum of its proper divisors (23777834120).

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

13387052800 is a wasteful number, since it uses less digits than its factorization.

13387052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 13387052800 in words is "thirteen billion, three hundred eighty-seven million, fifty-two thousand, eight hundred".