25395793920 has 624 divisors, whose sum is σ = 104472600960. Its totient is φ = 5804752896.

The previous prime is 25395793909. The next prime is 25395793931. The reversal of 25395793920 is 2939759352.

It is a happy number.

25395793920 is a `hidden beast` number, since 2 + 5 + 39 + 579 + 39 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25395793909) and next prime (25395793931).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3627970557 + ... + 3627970563.

It is an arithmetic number, because the mean of its divisors is an integer number (167424040).

Almost surely, 2^25395793920 is an apocalyptic number.

25395793920 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 25395793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52236300480).

25395793920 is an abundant number, since it is smaller than the sum of its proper divisors (79076807040).

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

25395793920 is an frugal number, since it uses more digits than its factorization.

25395793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 25395793920 in words is "twenty-five billion, three hundred ninety-five million, seven hundred ninety-three thousand, nine hundred twenty".