25677831564 has 216 divisors, whose sum is σ = 83080801440. Its totient is φ = 6543313920.

The previous prime is 25677831559. The next prime is 25677831583. The reversal of 25677831564 is 46513877652.

25677831564 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 78 + 3 + 1 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25677831564.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1608132 + ... + 1624020.

It is an arithmetic number, because the mean of its divisors is an integer number (384633340).

Almost surely, 2^25677831564 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 25677831564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41540400720).

25677831564 is an abundant number, since it is smaller than the sum of its proper divisors (57402969876).

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

25677831564 is a wasteful number, since it uses less digits than its factorization.

25677831564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15981 (or 15965 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 25677831564 in words is "twenty-five billion, six hundred seventy-seven million, eight hundred thirty-one thousand, five hundred sixty-four".