20434702500 has 135 divisors (see below), whose sum is σ = 64615123573. Its totient is φ = 5443536000.

The previous prime is 20434702493. The next prime is 20434702507. The reversal of 20434702500 is 520743402.

The square root of 20434702500 is 142950.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (20434702493) and next prime (20434702507).

It can be written as a sum of positive squares in 7 ways, for example, as 17072558244 + 3362144256 = 130662^2 + 57984^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20434702507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21442024 + ... + 21442976.

Almost surely, 2^20434702500 is an apocalyptic number.

20434702500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20434702500 is the 142950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434702500

20434702500 is an abundant number, since it is smaller than the sum of its proper divisors (44180421073).

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

20434702500 is an frugal number, since it uses more digits than its factorization.

20434702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20434702500 in words is "twenty billion, four hundred thirty-four million, seven hundred two thousand, five hundred".