20502816768 has 768 divisors, whose sum is σ = 75479040000. Its totient is φ = 5484036096.

The previous prime is 20502816743. The next prime is 20502816773. The reversal of 20502816768 is 86761820502.

20502816768 is a `hidden beast` number, since 2 + 0 + 502 + 81 + 6 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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, 436230121 + ... + 436230167.

It is an arithmetic number, because the mean of its divisors is an integer number (98280000).

Almost surely, 2^20502816768 is an apocalyptic number.

20502816768 is a gapful number since it is divisible by the number (28) 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 20502816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520000).

20502816768 is an abundant number, since it is smaller than the sum of its proper divisors (54976223232).

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

20502816768 is an equidigital number, since it uses as much as digits as its factorization.

20502816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20502816768 in words is "twenty billion, five hundred two million, eight hundred sixteen thousand, seven hundred sixty-eight".