27075409920 has 864 divisors, whose sum is σ = 108323429760. Its totient is φ = 6449725440.

The previous prime is 27075409877. The next prime is 27075409931. The reversal of 27075409920 is 2990457072.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 873400305 + ... + 873400335.

It is an arithmetic number, because the mean of its divisors is an integer number (125374340).

Almost surely, 2^27075409920 is an apocalyptic number.

27075409920 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 27075409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54161714880).

27075409920 is an abundant number, since it is smaller than the sum of its proper divisors (81248019840).

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

27075409920 is an frugal number, since it uses more digits than its factorization.

27075409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 27075409920 in words is "twenty-seven billion, seventy-five million, four hundred nine thousand, nine hundred twenty".