20966699722752 has 384 divisors, whose sum is σ = 71632360800000. Its totient is φ = 5935515107328.

The previous prime is 20966699722751. The next prime is 20966699722817. The reversal of 20966699722752 is 25722799666902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (20966699722751) 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, 41942374 + ... + 42439322.

It is an arithmetic number, because the mean of its divisors is an integer number (186542606250).

Almost surely, 2^{20966699722752} 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 20966699722752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816180400000).

20966699722752 is an abundant number, since it is smaller than the sum of its proper divisors (50665661077248).

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

20966699722752 is a wasteful number, since it uses less digits than its factorization.

20966699722752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497096 (or 497070 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 20966699722752 in words is "twenty trillion, nine hundred sixty-six billion, six hundred ninety-nine million, seven hundred twenty-two thousand, seven hundred fifty-two".