20238229831680 has 1920 divisors, whose sum is σ = 88867163024640. Its totient is φ = 4305167843328.

The previous prime is 20238229831637. The next prime is 20238229831711. The reversal of 20238229831680 is 8613892283202.

20238229831680 is a `hidden beast` number, since 2 + 0 + 2 + 38 + 2 + 298 + 316 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×20238229831680² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 546979184622 + ... + 546979184658.

It is an arithmetic number, because the mean of its divisors is an integer number (46284980742).

Almost surely, 2^{20238229831680} is an apocalyptic number.

20238229831680 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 20238229831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44433581512320).

20238229831680 is an abundant number, since it is smaller than the sum of its proper divisors (68628933192960).

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

20238229831680 is an frugal number, since it uses more digits than its factorization.

20238229831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20238229831680 in words is "twenty trillion, two hundred thirty-eight billion, two hundred twenty-nine million, eight hundred thirty-one thousand, six hundred eighty".