27881565880680 has 192 divisors, whose sum is σ = 90793814716800. Its totient is φ = 7420424394240.

The previous prime is 27881565880669. The next prime is 27881565880687. The reversal of 27881565880680 is 8608856518872.

It is a happy number.

27881565880680 is a `hidden beast` number, since 27 + 8 + 8 + 15 + 6 + 588 + 0 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27881565880599 and 27881565880608.

It is not an unprimeable number, because it can be changed into a prime (27881565880687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772388415 + ... + 1772404145.

It is an arithmetic number, because the mean of its divisors is an integer number (472884451650).

Almost surely, 2^{27881565880680} is an apocalyptic number.

27881565880680 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 27881565880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396907358400).

27881565880680 is an abundant number, since it is smaller than the sum of its proper divisors (62912248836120).

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

27881565880680 is a wasteful number, since it uses less digits than its factorization.

27881565880680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25144 (or 25137 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 72.

The spelling of 27881565880680 in words is "twenty-seven trillion, eight hundred eighty-one billion, five hundred sixty-five million, eight hundred eighty thousand, six hundred eighty".