20810462688 has 216 divisors, whose sum is σ = 64762077744. Its totient is φ = 6316738560.

The previous prime is 20810462653. The next prime is 20810462711. The reversal of 20810462688 is 88626401802.

20810462688 is a `hidden beast` number, since 2 + 0 + 8 + 10 + 4 + 626 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4702845 + ... + 4707267.

It is an arithmetic number, because the mean of its divisors is an integer number (299824434).

Almost surely, 2^20810462688 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 20810462688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32381038872).

20810462688 is an abundant number, since it is smaller than the sum of its proper divisors (43951615056).

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

20810462688 is a wasteful number, since it uses less digits than its factorization.

20810462688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20810462688 in words is "twenty billion, eight hundred ten million, four hundred sixty-two thousand, six hundred eighty-eight".