27705308362680 has 128 divisors (see below), whose sum is σ = 89556552832320. Its totient is φ = 6816180019200.

The previous prime is 27705308362657. The next prime is 27705308362681. The reversal of 27705308362680 is 8626380350772.

It is a super-2 number, since 2×27705308362680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27705308362680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27705308362681) 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, 1705617 + ... + 7636736.

Almost surely, 2^{27705308362680} is an apocalyptic number.

27705308362680 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 27705308362680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44778276416160).

27705308362680 is an abundant number, since it is smaller than the sum of its proper divisors (61851244469640).

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

27705308362680 is a wasteful number, since it uses less digits than its factorization.

27705308362680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344281 (or 9344277 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 27705308362680 in words is "twenty-seven trillion, seven hundred five billion, three hundred eight million, three hundred sixty-two thousand, six hundred eighty".