2027093189688 has 640 divisors, whose sum is σ = 7075487738880. Its totient is φ = 528922275840.

The previous prime is 2027093189647. The next prime is 2027093189761. The reversal of 2027093189688 is 8869813907202.

2027093189688 is a `hidden beast` number, since 20 + 270 + 93 + 189 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1400892981 + ... + 1400894427.

It is an arithmetic number, because the mean of its divisors is an integer number (11055449592).

Almost surely, 2^{2027093189688} is an apocalyptic number.

2027093189688 is a gapful number since it is divisible by the number (28) 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 2027093189688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537743869440).

2027093189688 is an abundant number, since it is smaller than the sum of its proper divisors (5048394549192).

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

2027093189688 is a wasteful number, since it uses less digits than its factorization.

2027093189688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2027093189688 in words is "two trillion, twenty-seven billion, ninety-three million, one hundred eighty-nine thousand, six hundred eighty-eight".