13025230400 has 168 divisors, whose sum is σ = 39446850240. Its totient is φ = 4122224640.

The previous prime is 13025230399. The next prime is 13025230447. The reversal of 13025230400 is 403252031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100871 + ... + 190329.

It is an arithmetic number, because the mean of its divisors is an integer number (234802680).

Almost surely, 2^13025230400 is an apocalyptic number.

13025230400 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 13025230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19723425120).

13025230400 is an abundant number, since it is smaller than the sum of its proper divisors (26421619840).

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

13025230400 is a wasteful number, since it uses less digits than its factorization.

13025230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89501 (or 89486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13025230400 its reverse (403252031), we get a palindrome (13428482431).

The spelling of 13025230400 in words is "thirteen billion, twenty-five million, two hundred thirty thousand, four hundred".