25673818320 has 200 divisors, whose sum is σ = 92244441960. Its totient is φ = 6610222080.

The previous prime is 25673818277. The next prime is 25673818361. The reversal of 25673818320 is 2381837652.

25673818320 is a `hidden beast` number, since 2 + 567 + 3 + 8 + 1 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 742671504 + 24931146816 = 27252^2 + 157896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119610 + ... + 256230.

Almost surely, 2^25673818320 is an apocalyptic number.

25673818320 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 25673818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46122220980).

25673818320 is an abundant number, since it is smaller than the sum of its proper divisors (66570623640).

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

25673818320 is a wasteful number, since it uses less digits than its factorization.

25673818320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136675 (or 136660 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25673818320 in words is "twenty-five billion, six hundred seventy-three million, eight hundred eighteen thousand, three hundred twenty".