20775792207744 has 1280 divisors, whose sum is σ = 75918031411200. Its totient is φ = 5508065525760.

The previous prime is 20775792207739. The next prime is 20775792207773. The reversal of 20775792207744 is 44770229757702.

20775792207744 is a `hidden beast` number, since 207 + 75 + 7 + 92 + 207 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30870418992 + ... + 30870419664.

It is an arithmetic number, because the mean of its divisors is an integer number (59310962040).

Almost surely, 2^{20775792207744} is an apocalyptic number.

20775792207744 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 20775792207744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37959015705600).

20775792207744 is an abundant number, since it is smaller than the sum of its proper divisors (55142239203456).

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

20775792207744 is a wasteful number, since it uses less digits than its factorization.

20775792207744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 63.

The spelling of 20775792207744 in words is "twenty trillion, seven hundred seventy-five billion, seven hundred ninety-two million, two hundred seven thousand, seven hundred forty-four".