27792238909080 has 256 divisors, whose sum is σ = 84961198080000. Its totient is φ = 7271652810240.

The previous prime is 27792238909063. The next prime is 27792238909219. The reversal of 27792238909080 is 8090983229772.

It is a happy number.

It is a congruent number.

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, 2984877625 + ... + 2984886935.

It is an arithmetic number, because the mean of its divisors is an integer number (331879680000).

Almost surely, 2^{27792238909080} is an apocalyptic number.

27792238909080 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 27792238909080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42480599040000).

27792238909080 is an abundant number, since it is smaller than the sum of its proper divisors (57168959170920).

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

27792238909080 is a wasteful number, since it uses less digits than its factorization.

27792238909080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 27792238909080 in words is "twenty-seven trillion, seven hundred ninety-two billion, two hundred thirty-eight million, nine hundred nine thousand, eighty".