27881945580 has 192 divisors, whose sum is σ = 84378470400. Its totient is φ = 6857809920.

The previous prime is 27881945537. The next prime is 27881945627. The reversal of 27881945580 is 8554918872.

It is a hoax number, since the sum of its digits (57) 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 (57).

It is a self number, because there is not a number n which added to its sum of digits gives 27881945580.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6572260 + ... + 6576500.

It is an arithmetic number, because the mean of its divisors is an integer number (439471200).

Almost surely, 2^27881945580 is an apocalyptic number.

27881945580 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 27881945580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42189235200).

27881945580 is an abundant number, since it is smaller than the sum of its proper divisors (56496524820).

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

27881945580 is a wasteful number, since it uses less digits than its factorization.

27881945580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 27881945580 in words is "twenty-seven billion, eight hundred eighty-one million, nine hundred forty-five thousand, five hundred eighty".