13645252800 has 504 divisors, whose sum is σ = 52069502160. Its totient is φ = 3378585600.

The previous prime is 13645252787. The next prime is 13645252847. The reversal of 13645252800 is 825254631.

13645252800 is a `hidden beast` number, since 1 + 3 + 645 + 2 + 5 + 2 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14500330 + ... + 14501270.

Almost surely, 2^13645252800 is an apocalyptic number.

13645252800 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 13645252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26034751080).

13645252800 is an abundant number, since it is smaller than the sum of its proper divisors (38424249360).

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

13645252800 is a wasteful number, since it uses less digits than its factorization.

13645252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13645252800 in words is "thirteen billion, six hundred forty-five million, two hundred fifty-two thousand, eight hundred".