25385041920 has 816 divisors, whose sum is σ = 103279753728. Its totient is φ = 5284823040.

The previous prime is 25385041901. The next prime is 25385041933. The reversal of 25385041920 is 2914058352.

It is a tau number, because it is divible by the number of its divisors (816).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818872305 + ... + 818872335.

Almost surely, 2^25385041920 is an apocalyptic number.

25385041920 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 25385041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51639876864).

25385041920 is an abundant number, since it is smaller than the sum of its proper divisors (77894711808).

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

25385041920 is an equidigital number, since it uses as much as digits as its factorization.

25385041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 25385041920 in words is "twenty-five billion, three hundred eighty-five million, forty-one thousand, nine hundred twenty".