27875347520 has 112 divisors (see below), whose sum is σ = 68821401600. Its totient is φ = 10741463040.

The previous prime is 27875347519. The next prime is 27875347553. The reversal of 27875347520 is 2574357872.

It is a super-3 number, since 3×27875347520³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4441985 + ... + 4448255.

It is an arithmetic number, because the mean of its divisors is an integer number (614476800).

Almost surely, 2^27875347520 is an apocalyptic number.

27875347520 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 27875347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410700800).

27875347520 is an abundant number, since it is smaller than the sum of its proper divisors (40946054080).

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

27875347520 is a wasteful number, since it uses less digits than its factorization.

27875347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 50.

The spelling of 27875347520 in words is "twenty-seven billion, eight hundred seventy-five million, three hundred forty-seven thousand, five hundred twenty".