25301122560 has 720 divisors, whose sum is σ = 103663896336. Its totient is φ = 5685313536.

The previous prime is 25301122547. The next prime is 25301122621. The reversal of 25301122560 is 6522110352.

It is a happy number.

25301122560 is a `hidden beast` number, since 2 + 530 + 1 + 122 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×25301122560² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 82413927 + ... + 82414233.

Almost surely, 2^25301122560 is an apocalyptic number.

25301122560 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 25301122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51831948168).

25301122560 is an abundant number, since it is smaller than the sum of its proper divisors (78362773776).

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

25301122560 is a wasteful number, since it uses less digits than its factorization.

25301122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 25301122560 in words is "twenty-five billion, three hundred one million, one hundred twenty-two thousand, five hundred sixty".