25100535240 has 288 divisors, whose sum is σ = 90079516800. Its totient is φ = 6057004800.

The previous prime is 25100535217. The next prime is 25100535247. The reversal of 25100535240 is 4253500152.

It is a happy number.

25100535240 is a `hidden beast` number, since 2 + 5 + 100 + 535 + 24 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (25100535247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10409635 + ... + 10412045.

It is an arithmetic number, because the mean of its divisors is an integer number (312776100).

Almost surely, 2^25100535240 is an apocalyptic number.

25100535240 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 25100535240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45039758400).

25100535240 is an abundant number, since it is smaller than the sum of its proper divisors (64978981560).

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

25100535240 is a wasteful number, since it uses less digits than its factorization.

25100535240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 25100535240 in words is "twenty-five billion, one hundred million, five hundred thirty-five thousand, two hundred forty".