13527793800 has 480 divisors, whose sum is σ = 48720988800. Its totient is φ = 3476805120.

The previous prime is 13527793777. The next prime is 13527793801. The reversal of 13527793800 is 839772531.

It is a happy number.

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 (13527793801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82992519 + ... + 82992681.

It is an arithmetic number, because the mean of its divisors is an integer number (101502060).

Almost surely, 2^13527793800 is an apocalyptic number.

13527793800 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 13527793800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360494400).

13527793800 is an abundant number, since it is smaller than the sum of its proper divisors (35193195000).

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

13527793800 is a wasteful number, since it uses less digits than its factorization.

13527793800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13527793800 in words is "thirteen billion, five hundred twenty-seven million, seven hundred ninety-three thousand, eight hundred".