20766144552816 has 320 divisors, whose sum is σ = 63051644436480. Its totient is φ = 5832192015360.

The previous prime is 20766144552809. The next prime is 20766144552821. The reversal of 20766144552816 is 61825544166702.

It is a happy number.

It is a super-2 number, since 2×20766144552816² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 83306221 + ... + 83555123.

It is an arithmetic number, because the mean of its divisors is an integer number (197036388864).

Almost surely, 2^{20766144552816} is an apocalyptic number.

20766144552816 is a gapful number since it is divisible by the number (26) 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 20766144552816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31525822218240).

20766144552816 is an abundant number, since it is smaller than the sum of its proper divisors (42285499883664).

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

20766144552816 is a wasteful number, since it uses less digits than its factorization.

20766144552816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249204 (or 249198 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 20766144552816 in words is "twenty trillion, seven hundred sixty-six billion, one hundred forty-four million, five hundred fifty-two thousand, eight hundred sixteen".