20610643104 has 120 divisors (see below), whose sum is σ = 60724787508. Its totient is φ = 6857809920.

The previous prime is 20610643061. The next prime is 20610643111. The reversal of 20610643104 is 40134601602.

20610643104 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 0 + 643 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17675170704 + 2935472400 = 132948^2 + 54180^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 1488694 + ... + 1502474.

Almost surely, 2^20610643104 is an apocalyptic number.

20610643104 is a gapful number since it is divisible by the number (24) 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 20610643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30362393754).

20610643104 is an abundant number, since it is smaller than the sum of its proper divisors (40114144404).

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

20610643104 is a wasteful number, since it uses less digits than its factorization.

20610643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 14363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20610643104 in words is "twenty billion, six hundred ten million, six hundred forty-three thousand, one hundred four".