27289487272960 has 704 divisors, whose sum is σ = 79092008271360. Its totient is φ = 8923447296000.

The previous prime is 27289487272843. The next prime is 27289487272991. The reversal of 27289487272960 is 6927278498272.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×27289487272960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623302955 + ... + 1623319765.

Almost surely, 2^{27289487272960} is an apocalyptic number.

27289487272960 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 27289487272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39546004135680).

27289487272960 is an abundant number, since it is smaller than the sum of its proper divisors (51802520998400).

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

27289487272960 is a wasteful number, since it uses less digits than its factorization.

27289487272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16944 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 73.

The spelling of 27289487272960 in words is "twenty-seven trillion, two hundred eighty-nine billion, four hundred eighty-seven million, two hundred seventy-two thousand, nine hundred sixty".