20027105128800 has 1152 divisors, whose sum is σ = 92147352192000. Its totient is φ = 4161459456000.

The previous prime is 20027105128799. The next prime is 20027105128817. The reversal of 20027105128800 is 882150172002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81373930 + ... + 81619670.

It is an arithmetic number, because the mean of its divisors is an integer number (79989021000).

Almost surely, 2^{20027105128800} is an apocalyptic number.

20027105128800 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 20027105128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46073676096000).

20027105128800 is an abundant number, since it is smaller than the sum of its proper divisors (72120247063200).

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

20027105128800 is a wasteful number, since it uses less digits than its factorization.

20027105128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245802 (or 245769 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 20027105128800 in words is "twenty trillion, twenty-seven billion, one hundred five million, one hundred twenty-eight thousand, eight hundred".