25507722240 has 1584 divisors, whose sum is σ = 122316929280. Its totient is φ = 4830658560.

The previous prime is 25507722187. The next prime is 25507722257. The reversal of 25507722240 is 4222770552.

25507722240 is a `hidden beast` number, since 25 + 507 + 72 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25507722195 and 25507722204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322882521 + ... + 322882599.

Almost surely, 2^25507722240 is an apocalyptic number.

25507722240 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 25507722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158464640).

25507722240 is an abundant number, since it is smaller than the sum of its proper divisors (96809207040).

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

25507722240 is a wasteful number, since it uses less digits than its factorization.

25507722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

It can be divided in two parts, 25507 and 722240, that added together give a palindrome (747747).

The spelling of 25507722240 in words is "twenty-five billion, five hundred seven million, seven hundred twenty-two thousand, two hundred forty".