25887060864 has 320 divisors, whose sum is σ = 88925591040. Its totient is φ = 7322379264.

The previous prime is 25887060847. The next prime is 25887060869. The reversal of 25887060864 is 46806078852.

25887060864 is a `hidden beast` number, since 25 + 8 + 8 + 7 + 0 + 608 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25887060864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25887060869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7473597 + ... + 7477059.

It is an arithmetic number, because the mean of its divisors is an integer number (277892472).

Almost surely, 2^25887060864 is an apocalyptic number.

25887060864 is a gapful number since it is divisible by the number (24) 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 25887060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44462795520).

25887060864 is an abundant number, since it is smaller than the sum of its proper divisors (63038530176).

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

25887060864 is a wasteful number, since it uses less digits than its factorization.

25887060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 25887060864 in words is "twenty-five billion, eight hundred eighty-seven million, sixty thousand, eight hundred sixty-four".