27790880276580 has 192 divisors, whose sum is σ = 83409785303040. Its totient is φ = 6895650617856.

The previous prime is 27790880276573. The next prime is 27790880276587. The reversal of 27790880276580 is 8567208809772.

It is an interprime number because it is at equal distance from previous prime (27790880276573) and next prime (27790880276587).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (27790880276587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253560231 + ... + 253669809.

It is an arithmetic number, because the mean of its divisors is an integer number (434425965120).

Almost surely, 2^{27790880276580} is an apocalyptic number.

27790880276580 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 27790880276580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41704892651520).

27790880276580 is an abundant number, since it is smaller than the sum of its proper divisors (55618905026460).

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

27790880276580 is a wasteful number, since it uses less digits than its factorization.

27790880276580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114618 (or 114616 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 69.

The spelling of 27790880276580 in words is "twenty-seven trillion, seven hundred ninety billion, eight hundred eighty million, two hundred seventy-six thousand, five hundred eighty".