25861053689856 has 2080 divisors, whose sum is σ = 101319771041280. Its totient is φ = 6376469299200.

The previous prime is 25861053689767. The next prime is 25861053689869. The reversal of 25861053689856 is 65898635016852.

25861053689856 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 1 + 0 + 536 + 8 + 9 + 85 + 6 = 666.

It is a super-2 number, since 2×25861053689856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49637338876 + ... + 49637339396.

Almost surely, 2^{25861053689856} 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 25861053689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50659885520640).

25861053689856 is an abundant number, since it is smaller than the sum of its proper divisors (75458717351424).

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

25861053689856 is a wasteful number, since it uses less digits than its factorization.

25861053689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 25861053689856 in words is "twenty-five trillion, eight hundred sixty-one billion, fifty-three million, six hundred eighty-nine thousand, eight hundred fifty-six".