20766084681400 has 96 divisors (see below), whose sum is σ = 49844592420480. Its totient is φ = 8037518400000.

The previous prime is 20766084681341. The next prime is 20766084681409. The reversal of 20766084681400 is 418648066702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20766084681409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52509202 + ... + 52903198.

It is an arithmetic number, because the mean of its divisors is an integer number (519214504380).

Almost surely, 2^{20766084681400} is an apocalyptic number.

20766084681400 is a gapful number since it is divisible by the number (20) 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 20766084681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24922296210240).

20766084681400 is an abundant number, since it is smaller than the sum of its proper divisors (29078507739080).

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

20766084681400 is a wasteful number, since it uses less digits than its factorization.

20766084681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402545 (or 402536 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 20766084681400 in words is "twenty trillion, seven hundred sixty-six billion, eighty-four million, six hundred eighty-one thousand, four hundred".