25252344000 has 1344 divisors, whose sum is σ = 110436842880. Its totient is φ = 5595955200.

The previous prime is 25252343981. The next prime is 25252344001. The reversal of 25252344000 is 44325252.

It is a happy number.

25252344000 is a `hidden beast` number, since 2 + 5 + 25 + 234 + 400 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25252344001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1097927989 + ... + 1097928011.

It is an arithmetic number, because the mean of its divisors is an integer number (82170270).

Almost surely, 2^25252344000 is an apocalyptic number.

25252344000 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 25252344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55218421440).

25252344000 is an abundant number, since it is smaller than the sum of its proper divisors (85184498880).

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

25252344000 is a wasteful number, since it uses less digits than its factorization.

25252344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 25252344000 its reverse (44325252), we get a palindrome (25296669252).

The spelling of 25252344000 in words is "twenty-five billion, two hundred fifty-two million, three hundred forty-four thousand".