27280054128000 has 256 divisors, whose sum is σ = 91123731578880. Its totient is φ = 7219147520000.

The previous prime is 27280054127983. The next prime is 27280054128017. The reversal of 27280054128000 is 82145008272.

It is an interprime number because it is at equal distance from previous prime (27280054127983) and next prime (27280054128017).

It is a self number, because there is not a number n which added to its sum of digits gives 27280054128000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4118785 + ... + 8457215.

It is an arithmetic number, because the mean of its divisors is an integer number (355952076480).

Almost surely, 2^{27280054128000} is an apocalyptic number.

27280054128000 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 27280054128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45561865789440).

27280054128000 is an abundant number, since it is smaller than the sum of its proper divisors (63843677450880).

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

27280054128000 is a wasteful number, since it uses less digits than its factorization.

27280054128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338594 (or 4338572 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 27280054128000 in words is "twenty-seven trillion, two hundred eighty billion, fifty-four million, one hundred twenty-eight thousand".