27890374680 has 384 divisors, whose sum is σ = 108525355200. Its totient is φ = 6352625664.

The previous prime is 27890374663. The next prime is 27890374691. The reversal of 27890374680 is 8647309872.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18680014 + ... + 18681506.

Almost surely, 2^27890374680 is an apocalyptic number.

27890374680 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 27890374680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54262677600).

27890374680 is an abundant number, since it is smaller than the sum of its proper divisors (80634980520).

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

27890374680 is a wasteful number, since it uses less digits than its factorization.

27890374680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 27890374680 in words is "twenty-seven billion, eight hundred ninety million, three hundred seventy-four thousand, six hundred eighty".