27825298080 has 192 divisors, whose sum is σ = 92912158080. Its totient is φ = 6975586304.

The previous prime is 27825298051. The next prime is 27825298103. The reversal of 27825298080 is 8089252872.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10663816 + ... + 10666424.

It is an arithmetic number, because the mean of its divisors is an integer number (483917490).

Almost surely, 2^27825298080 is an apocalyptic number.

27825298080 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 27825298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46456079040).

27825298080 is an abundant number, since it is smaller than the sum of its proper divisors (65086860000).

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

27825298080 is a wasteful number, since it uses less digits than its factorization.

27825298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 27825298080 in words is "twenty-seven billion, eight hundred twenty-five million, two hundred ninety-eight thousand, eighty".