20237105193984 has 1056 divisors, whose sum is σ = 71263321292800. Its totient is φ = 5733429682176.

The previous prime is 20237105193967. The next prime is 20237105194063. The reversal of 20237105193984 is 48939150173202.

20237105193984 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 7 + 10 + 519 + 39 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20237105193984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10839369819 + ... + 10839371685.

Almost surely, 2^{20237105193984} is an apocalyptic number.

20237105193984 is a gapful number since it is divisible by the number (24) 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 20237105193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35631660646400).

20237105193984 is an abundant number, since it is smaller than the sum of its proper divisors (51026216098816).

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

20237105193984 is an equidigital number, since it uses as much as digits as its factorization.

20237105193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20237105193984 in words is "twenty trillion, two hundred thirty-seven billion, one hundred five million, one hundred ninety-three thousand, nine hundred eighty-four".