25310775672 has 960 divisors, whose sum is σ = 97586596800. Its totient is φ = 5957038080.

The previous prime is 25310775649. The next prime is 25310775673. The reversal of 25310775672 is 27657701352.

25310775672 is a `hidden beast` number, since 2 + 5 + 3 + 10 + 77 + 567 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25310775673) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 617335972 + ... + 617336012.

It is an arithmetic number, because the mean of its divisors is an integer number (101652705).

Almost surely, 2^25310775672 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 25310775672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48793298400).

25310775672 is an abundant number, since it is smaller than the sum of its proper divisors (72275821128).

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

25310775672 is a wasteful number, since it uses less digits than its factorization.

25310775672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 25310775672 in words is "twenty-five billion, three hundred ten million, seven hundred seventy-five thousand, six hundred seventy-two".