13573881200 has 240 divisors, whose sum is σ = 39655319040. Its totient is φ = 4400640000.

The previous prime is 13573881157. The next prime is 13573881253. The reversal of 13573881200 is 218837531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416425 + ... + 1425975.

It is an arithmetic number, because the mean of its divisors is an integer number (165230496).

Almost surely, 2^13573881200 is an apocalyptic number.

13573881200 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 13573881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19827659520).

13573881200 is an abundant number, since it is smaller than the sum of its proper divisors (26081437840).

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

13573881200 is a wasteful number, since it uses less digits than its factorization.

13573881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 13573881200 in words is "thirteen billion, five hundred seventy-three million, eight hundred eighty-one thousand, two hundred".