27750470260 has 72 divisors (see below), whose sum is σ = 60536592648. Its totient is φ = 10685030400.

The previous prime is 27750470257. The next prime is 27750470261. The reversal of 27750470260 is 6207405772.

It can be written as a sum of positive squares in 4 ways, for example, as 4070184804 + 23680285456 = 63798^2 + 153884^2 .

It is a super-2 number, since 2×27750470260² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27750470261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3705720 + ... + 3713200.

It is an arithmetic number, because the mean of its divisors is an integer number (840786009).

Almost surely, 2^27750470260 is an apocalyptic number.

27750470260 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 27750470260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30268296324).

27750470260 is an abundant number, since it is smaller than the sum of its proper divisors (32786122388).

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

27750470260 is a wasteful number, since it uses less digits than its factorization.

27750470260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 27750470260 in words is "twenty-seven billion, seven hundred fifty million, four hundred seventy thousand, two hundred sixty".