20287635194112 has 576 divisors, whose sum is σ = 67243238463744. Its totient is φ = 5334887301120.

The previous prime is 20287635194063. The next prime is 20287635194161. The reversal of 20287635194112 is 21149153678202.

It is an interprime number because it is at equal distance from previous prime (20287635194063) and next prime (20287635194161).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1749380698 + ... + 1749392294.

It is an arithmetic number, because the mean of its divisors is an integer number (116741733444).

It is a 1-persistent number, because it is pandigital, but 2⋅20287635194112 = 40575270388224 is not.

Almost surely, 2^{20287635194112} is an apocalyptic number.

20287635194112 is a gapful number since it is divisible by the number (22) 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 20287635194112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33621619231872).

20287635194112 is an abundant number, since it is smaller than the sum of its proper divisors (46955603269632).

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

20287635194112 is a wasteful number, since it uses less digits than its factorization.

20287635194112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 20287635194112 in words is "twenty trillion, two hundred eighty-seven billion, six hundred thirty-five million, one hundred ninety-four thousand, one hundred twelve".