25820838120 has 384 divisors, whose sum is σ = 103479897600. Its totient is φ = 5082739200.

The previous prime is 25820838089. The next prime is 25820838143. The reversal of 25820838120 is 2183802852.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1218415 + ... + 1239425.

It is an arithmetic number, because the mean of its divisors is an integer number (269478900).

Almost surely, 2^25820838120 is an apocalyptic number.

25820838120 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 25820838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51739948800).

25820838120 is an abundant number, since it is smaller than the sum of its proper divisors (77659059480).

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

25820838120 is a wasteful number, since it uses less digits than its factorization.

25820838120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21069 (or 21058 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 25820838120 in words is "twenty-five billion, eight hundred twenty million, eight hundred thirty-eight thousand, one hundred twenty".