20953861462768 has 480 divisors, whose sum is σ = 47983033264320. Its totient is φ = 8797836902400.

The previous prime is 20953861462763. The next prime is 20953861462783. The reversal of 20953861462768 is 86726416835902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20953861462763) 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, 74041913155 + ... + 74041913437.

It is an arithmetic number, because the mean of its divisors is an integer number (99964652634).

It is a 1-persistent number, because it is pandigital, but 2⋅20953861462768 = 41907722925536 is not.

Almost surely, 2^{20953861462768} 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 20953861462768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23991516632160).

20953861462768 is an abundant number, since it is smaller than the sum of its proper divisors (27029171801552).

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

20953861462768 is a wasteful number, since it uses less digits than its factorization.

20953861462768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 20953861462768 in words is "twenty trillion, nine hundred fifty-three billion, eight hundred sixty-one million, four hundred sixty-two thousand, seven hundred sixty-eight".