20763948413952 has 1056 divisors, whose sum is σ = 67913486035200. Its totient is φ = 6078900731904.

The previous prime is 20763948413951. The next prime is 20763948414031. The reversal of 20763948413952 is 25931484936702.

20763948413952 is a `hidden beast` number, since 2 + 0 + 7 + 63 + 9 + 484 + 1 + 3 + 95 + 2 = 666.

It is a super-3 number, since 3×20763948413952³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20763948413952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20763948413951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18997207518 + ... + 18997208610.

It is a 1-persistent number, because it is pandigital, but 2⋅20763948413952 = 41527896827904 is not.

Almost surely, 2^{20763948413952} 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 20763948413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33956743017600).

20763948413952 is an abundant number, since it is smaller than the sum of its proper divisors (47149537621248).

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

20763948413952 is a wasteful number, since it uses less digits than its factorization.

20763948413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 20763948413952 in words is "twenty trillion, seven hundred sixty-three billion, nine hundred forty-eight million, four hundred thirteen thousand, nine hundred fifty-two".