25859674280160 has 1536 divisors, whose sum is σ = 109015782543360. Its totient is φ = 5602303180800.

The previous prime is 25859674280159. The next prime is 25859674280191. The reversal of 25859674280160 is 6108247695852.

25859674280160 is a `hidden beast` number, since 2 + 5 + 8 + 596 + 7 + 4 + 28 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×25859674280160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7302927990 + ... + 7302931530.

It is an arithmetic number, because the mean of its divisors is an integer number (70973816760).

Almost surely, 2^{25859674280160} is an apocalyptic number.

25859674280160 is a gapful number since it is divisible by the number (20) 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 25859674280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54507891271680).

25859674280160 is an abundant number, since it is smaller than the sum of its proper divisors (83156108263200).

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

25859674280160 is a wasteful number, since it uses less digits than its factorization.

25859674280160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 25859674280160 in words is "twenty-five trillion, eight hundred fifty-nine billion, six hundred seventy-four million, two hundred eighty thousand, one hundred sixty".