20766504192 has 288 divisors, whose sum is σ = 66559180800. Its totient is φ = 5739632640.

The previous prime is 20766504191. The next prime is 20766504203. The reversal of 20766504192 is 29140566702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20766504191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8164873 + ... + 8167415.

Almost surely, 2^20766504192 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 20766504192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33279590400).

20766504192 is an abundant number, since it is smaller than the sum of its proper divisors (45792676608).

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

20766504192 is an equidigital number, since it uses as much as digits as its factorization.

20766504192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 20766504192 in words is "twenty billion, seven hundred sixty-six million, five hundred four thousand, one hundred ninety-two".