25816616280 has 576 divisors, whose sum is σ = 106228100160. Its totient is φ = 5389203456.

The previous prime is 25816616213. The next prime is 25816616281. The reversal of 25816616280 is 8261661852.

25816616280 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 6 + 616 + 28 + 0 = 666.

It is a super-2 number, since 2×25816616280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25816616281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23619414 + ... + 23620506.

It is an arithmetic number, because the mean of its divisors is an integer number (184423785).

Almost surely, 2^25816616280 is an apocalyptic number.

25816616280 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 25816616280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114050080).

25816616280 is an abundant number, since it is smaller than the sum of its proper divisors (80411483880).

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

25816616280 is a wasteful number, since it uses less digits than its factorization.

25816616280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25816616280 in words is "twenty-five billion, eight hundred sixteen million, six hundred sixteen thousand, two hundred eighty".