25436410272 has 288 divisors, whose sum is σ = 89315920512. Its totient is φ = 6686779392.

The previous prime is 25436410271. The next prime is 25436410289. The reversal of 25436410272 is 27201463452.

25436410272 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 641 + 0 + 2 + 7 + 2 = 666.

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

It is a super-2 number, since 2×25436410272² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25436410271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9092778 + ... + 9095574.

It is an arithmetic number, because the mean of its divisors is an integer number (310124724).

Almost surely, 2^25436410272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25436410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44657960256).

25436410272 is an abundant number, since it is smaller than the sum of its proper divisors (63879510240).

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

25436410272 is a wasteful number, since it uses less digits than its factorization.

25436410272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 25436410272 in words is "twenty-five billion, four hundred thirty-six million, four hundred ten thousand, two hundred seventy-two".