27560492960 has 864 divisors, whose sum is σ = 93872991744. Its totient is φ = 7547904000.

The previous prime is 27560492957. The next prime is 27560492963. The reversal of 27560492960 is 6929406572.

It is an interprime number because it is at equal distance from previous prime (27560492957) and next prime (27560492963).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27560492899 and 27560492908.

It is not an unprimeable number, because it can be changed into a prime (27560492963) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 451811330 + ... + 451811390.

It is an arithmetic number, because the mean of its divisors is an integer number (108649296).

Almost surely, 2^27560492960 is an apocalyptic number.

27560492960 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 27560492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46936495872).

27560492960 is an abundant number, since it is smaller than the sum of its proper divisors (66312498784).

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

27560492960 is a wasteful number, since it uses less digits than its factorization.

27560492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 27560492960 in words is "twenty-seven billion, five hundred sixty million, four hundred ninety-two thousand, nine hundred sixty".