27057881088000 has 2432 divisors, whose sum is σ = 121544658293760. Its totient is φ = 5798205849600.

The previous prime is 27057881087959. The next prime is 27057881088013. The reversal of 27057881088000 is 88018875072.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105283583872 + ... + 105283584128.

Almost surely, 2^{27057881088000} is an apocalyptic number.

27057881088000 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 27057881088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60772329146880).

27057881088000 is an abundant number, since it is smaller than the sum of its proper divisors (94486777205760).

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

27057881088000 is an frugal number, since it uses more digits than its factorization.

27057881088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 27057881088000 in words is "twenty-seven trillion, fifty-seven billion, eight hundred eighty-one million, eighty-eight thousand".