27090587226080 has 192 divisors, whose sum is σ = 77131091842560. Its totient is φ = 8783715354624.

The previous prime is 27090587226071. The next prime is 27090587226161. The reversal of 27090587226080 is 8062278509072.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10850042 + ... + 13111238.

It is an arithmetic number, because the mean of its divisors is an integer number (401724436680).

Almost surely, 2^{27090587226080} is an apocalyptic number.

27090587226080 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 27090587226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38565545921280).

27090587226080 is an abundant number, since it is smaller than the sum of its proper divisors (50040504616480).

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

27090587226080 is a wasteful number, since it uses less digits than its factorization.

27090587226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261801 (or 2261793 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 27090587226080 in words is "twenty-seven trillion, ninety billion, five hundred eighty-seven million, two hundred twenty-six thousand, eighty".