25263362400 has 144 divisors (see below), whose sum is σ = 82285389648. Its totient is φ = 6732544000.

The previous prime is 25263362393. The next prime is 25263362417. The reversal of 25263362400 is 426336252.

It is a congruent number.

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, 5712190 + ... + 5716610.

It is an arithmetic number, because the mean of its divisors is an integer number (571426317).

Almost surely, 2^25263362400 is an apocalyptic number.

25263362400 is a gapful number since it is divisible by the number (20) 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 25263362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41142694824).

25263362400 is an abundant number, since it is smaller than the sum of its proper divisors (57022027248).

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

25263362400 is a wasteful number, since it uses less digits than its factorization.

25263362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 25263362400 its reverse (426336252), we get a palindrome (25689698652).

The spelling of 25263362400 in words is "twenty-five billion, two hundred sixty-three million, three hundred sixty-two thousand, four hundred".