27092348014080 has 640 divisors, whose sum is σ = 93043084147200. Its totient is φ = 6701170294784.

The previous prime is 27092348014033. The next prime is 27092348014091. The reversal of 27092348014080 is 8041084329072.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2640831991 + ... + 2640842249.

It is an arithmetic number, because the mean of its divisors is an integer number (145379818980).

Almost surely, 2^{27092348014080} is an apocalyptic number.

27092348014080 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 27092348014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46521542073600).

27092348014080 is an abundant number, since it is smaller than the sum of its proper divisors (65950736133120).

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

27092348014080 is a wasteful number, since it uses less digits than its factorization.

27092348014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 27092348014080 in words is "twenty-seven trillion, ninety-two billion, three hundred forty-eight million, fourteen thousand, eighty".