20272642119800 has 288 divisors, whose sum is σ = 60224330217600. Its totient is φ = 6298501144320.

The previous prime is 20272642119799. The next prime is 20272642119833. The reversal of 20272642119800 is 891124627202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915739 + ... + 6649461.

It is an arithmetic number, because the mean of its divisors is an integer number (209112257700).

Almost surely, 2^{20272642119800} is an apocalyptic number.

20272642119800 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 20272642119800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30112165108800).

20272642119800 is an abundant number, since it is smaller than the sum of its proper divisors (39951688097800).

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

20272642119800 is a wasteful number, since it uses less digits than its factorization.

20272642119800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733795 (or 4733779 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 20272642119800 in words is "twenty trillion, two hundred seventy-two billion, six hundred forty-two million, one hundred nineteen thousand, eight hundred".