27038773608000 has 896 divisors, whose sum is σ = 111980482338816. Its totient is φ = 5584739328000.

The previous prime is 27038773607987. The next prime is 27038773608089. The reversal of 27038773608000 is 80637783072.

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, 308572194 + ... + 308659806.

It is an arithmetic number, because the mean of its divisors is an integer number (124978216896).

Almost surely, 2^{27038773608000} is an apocalyptic number.

27038773608000 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 27038773608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55990241169408).

27038773608000 is an abundant number, since it is smaller than the sum of its proper divisors (84941708730816).

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

27038773608000 is a wasteful number, since it uses less digits than its factorization.

27038773608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87828 (or 87808 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 27038773608000 in words is "twenty-seven trillion, thirty-eight billion, seven hundred seventy-three million, six hundred eight thousand".