25248774720 has 448 divisors, whose sum is σ = 91464871680. Its totient is φ = 5849874432.

The previous prime is 25248774713. The next prime is 25248774721. The reversal of 25248774720 is 2747784252.

It is a happy number.

It is a super-2 number, since 2×25248774720² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25248774720.

It is not an unprimeable number, because it can be changed into a prime (25248774721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55248732 + ... + 55249188.

It is an arithmetic number, because the mean of its divisors is an integer number (204162660).

Almost surely, 2^25248774720 is an apocalyptic number.

25248774720 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 25248774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45732435840).

25248774720 is an abundant number, since it is smaller than the sum of its proper divisors (66216096960).

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

25248774720 is a wasteful number, since it uses less digits than its factorization.

25248774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 25248774720 in words is "twenty-five billion, two hundred forty-eight million, seven hundred seventy-four thousand, seven hundred twenty".