25120112640 has 512 divisors, whose sum is σ = 94370400000. Its totient is φ = 5703204864.

The previous prime is 25120112627. The next prime is 25120112657. The reversal of 25120112640 is 4621102152.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25120112640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168591286 + ... + 168591434.

Almost surely, 2^25120112640 is an apocalyptic number.

25120112640 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 25120112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47185200000).

25120112640 is an abundant number, since it is smaller than the sum of its proper divisors (69250287360).

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

25120112640 is an frugal number, since it uses more digits than its factorization.

25120112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 25120112640 its reverse (4621102152), we get a palindrome (29741214792).

The spelling of 25120112640 in words is "twenty-five billion, one hundred twenty million, one hundred twelve thousand, six hundred forty".