27090408576 has 256 divisors, whose sum is σ = 89911710720. Its totient is φ = 7021056000.

The previous prime is 27090408571. The next prime is 27090408617. The reversal of 27090408576 is 67580409072.

It is a super-2 number, since 2×27090408576² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27090408571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20726515 + ... + 20727821.

It is an arithmetic number, because the mean of its divisors is an integer number (351217620).

Almost surely, 2^27090408576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27090408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44955855360).

27090408576 is an abundant number, since it is smaller than the sum of its proper divisors (62821302144).

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

27090408576 is a wasteful number, since it uses less digits than its factorization.

27090408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 27090408576 in words is "twenty-seven billion, ninety million, four hundred eight thousand, five hundred seventy-six".