25188640538112 has 480 divisors, whose sum is σ = 79759477923840. Its totient is φ = 7618134343680.

The previous prime is 25188640538021. The next prime is 25188640538119. The reversal of 25188640538112 is 21183504688152.

25188640538112 is a `hidden beast` number, since 2 + 5 + 18 + 86 + 4 + 0 + 538 + 1 + 12 = 666.

It is a super-2 number, since 2×25188640538112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25188640538119) 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, 638653689 + ... + 638693127.

It is an arithmetic number, because the mean of its divisors is an integer number (166165579008).

Almost surely, 2^{25188640538112} 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 25188640538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39879738961920).

25188640538112 is an abundant number, since it is smaller than the sum of its proper divisors (54570837385728).

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

25188640538112 is a wasteful number, since it uses less digits than its factorization.

25188640538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39774 (or 39755 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 25188640538112 in words is "twenty-five trillion, one hundred eighty-eight billion, six hundred forty million, five hundred thirty-eight thousand, one hundred twelve".