25820781075000 has 480 divisors, whose sum is σ = 95714421541200. Its totient is φ = 6480501120000.

The previous prime is 25820781074987. The next prime is 25820781075031. The reversal of 25820781075000 is 57018702852.

25820781075000 is a `hidden beast` number, since 2 + 58 + 20 + 78 + 1 + 0 + 7 + 500 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34049971 + ... + 34800029.

Almost surely, 2^{25820781075000} is an apocalyptic number.

25820781075000 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 25820781075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47857210770600).

25820781075000 is an abundant number, since it is smaller than the sum of its proper divisors (69893640466200).

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

25820781075000 is an equidigital number, since it uses as much as digits as its factorization.

25820781075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750119 (or 750086 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

Adding to 25820781075000 its reverse (57018702852), we get a palindrome (25877799777852).

The spelling of 25820781075000 in words is "twenty-five trillion, eight hundred twenty billion, seven hundred eighty-one million, seventy-five thousand".