13259752800 has 432 divisors, whose sum is σ = 51296716800. Its totient is φ = 2965079040.

The previous prime is 13259752763. The next prime is 13259752873. The reversal of 13259752800 is 825795231.

It is a happy number.

It is a Cunningham number, because it is equal to 115151²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 5526001 + ... + 5528399.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 2^13259752800 is an apocalyptic number.

13259752800 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 13259752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648358400).

13259752800 is an abundant number, since it is smaller than the sum of its proper divisors (38036964000).

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

13259752800 is a wasteful number, since it uses less digits than its factorization.

13259752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 13259752800 in words is "thirteen billion, two hundred fifty-nine million, seven hundred fifty-two thousand, eight hundred".