13675825800 has 576 divisors, whose sum is σ = 58496256000. Its totient is φ = 2784983040.

The previous prime is 13675825789. The next prime is 13675825853. The reversal of 13675825800 is 852857631.

13675825800 is a `hidden beast` number, since 1 + 3 + 67 + 5 + 8 + 2 + 580 + 0 = 666.

It is a super-2 number, since 2×13675825800² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4748761 + ... + 4751639.

It is an arithmetic number, because the mean of its divisors is an integer number (101556000).

Almost surely, 2^13675825800 is an apocalyptic number.

13675825800 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 13675825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128000).

13675825800 is an abundant number, since it is smaller than the sum of its proper divisors (44820430200).

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

13675825800 is a wasteful number, since it uses less digits than its factorization.

13675825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 13675825800 in words is "thirteen billion, six hundred seventy-five million, eight hundred twenty-five thousand, eight hundred".