17434020820 has 72 divisors (see below), whose sum is σ = 38145855384. Its totient is φ = 6691200000.

The previous prime is 17434020809. The next prime is 17434020823. The reversal of 17434020820 is 2802043471.

It can be written as a sum of positive squares in 12 ways, for example, as 17433505296 + 515524 = 132036^2 + 718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17434020823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046570 + ... + 2055070.

It is an arithmetic number, because the mean of its divisors is an integer number (529803547).

Almost surely, 2^17434020820 is an apocalyptic number.

17434020820 is a gapful number since it is divisible by the number (10) 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 17434020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072927692).

17434020820 is an abundant number, since it is smaller than the sum of its proper divisors (20711834564).

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

17434020820 is a wasteful number, since it uses less digits than its factorization.

17434020820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 17434020820 in words is "seventeen billion, four hundred thirty-four million, twenty thousand, eight hundred twenty".