25501230720 has 288 divisors, whose sum is σ = 102437040420. Its totient is φ = 5828788224.

The previous prime is 25501230709. The next prime is 25501230737. The reversal of 25501230720 is 2703210552.

25501230720 is a `hidden beast` number, since 2 + 550 + 12 + 30 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20825953344 + 4675277376 = 144312^2 + 68376^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237064 + ... + 327416.

Almost surely, 2^25501230720 is an apocalyptic number.

25501230720 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 25501230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51218520210).

25501230720 is an abundant number, since it is smaller than the sum of its proper divisors (76935809700).

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

25501230720 is a wasteful number, since it uses less digits than its factorization.

25501230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90392 (or 90370 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 25501230720 in words is "twenty-five billion, five hundred one million, two hundred thirty thousand, seven hundred twenty".