25098289920 has 864 divisors, whose sum is σ = 100109265984. Its totient is φ = 5750784000.

The previous prime is 25098289919. The next prime is 25098289927. The reversal of 25098289920 is 2998289052.

25098289920 is a `hidden beast` number, since 2 + 509 + 8 + 28 + 99 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (25098289927) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 248497870 + ... + 248497970.

It is an arithmetic number, because the mean of its divisors is an integer number (115867206).

Almost surely, 2^25098289920 is an apocalyptic number.

25098289920 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 25098289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50054632992).

25098289920 is an abundant number, since it is smaller than the sum of its proper divisors (75010976064).

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

25098289920 is a wasteful number, since it uses less digits than its factorization.

25098289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 25098289920 in words is "twenty-five billion, ninety-eight million, two hundred eighty-nine thousand, nine hundred twenty".