20075693094912 has 768 divisors, whose sum is σ = 69446755123200. Its totient is φ = 5008331243520.

The previous prime is 20075693094911. The next prime is 20075693094913. The reversal of 20075693094912 is 21949039657002.

It is an interprime number because it is at equal distance from previous prime (20075693094911) and next prime (20075693094913).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20075693094911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10527368263 + ... + 10527370169.

It is an arithmetic number, because the mean of its divisors is an integer number (90425462400).

Almost surely, 2^{20075693094912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20075693094912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34723377561600).

20075693094912 is an abundant number, since it is smaller than the sum of its proper divisors (49371062028288).

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

20075693094912 is a wasteful number, since it uses less digits than its factorization.

20075693094912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 20075693094912 in words is "twenty trillion, seventy-five billion, six hundred ninety-three million, ninety-four thousand, nine hundred twelve".