25344450120 has 256 divisors, whose sum is σ = 85384212480. Its totient is φ = 5964953600.

The previous prime is 25344450101. The next prime is 25344450121. The reversal of 25344450120 is 2105444352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25344450121) 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, 12284209 + ... + 12286271.

It is an arithmetic number, because the mean of its divisors is an integer number (333532080).

Almost surely, 2^25344450120 is an apocalyptic number.

25344450120 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 25344450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692106240).

25344450120 is an abundant number, since it is smaller than the sum of its proper divisors (60039762360).

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

25344450120 is a wasteful number, since it uses less digits than its factorization.

25344450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 25344450120 its reverse (2105444352), we get a palindrome (27449894472).

The spelling of 25344450120 in words is "twenty-five billion, three hundred forty-four million, four hundred fifty thousand, one hundred twenty".