20779222500 has 225 divisors, whose sum is σ = 67823410655. Its totient is φ = 5362380000.

The previous prime is 20779222463. The next prime is 20779222501. The reversal of 20779222500 is 522297702.

The square root of 20779222500 is 144150.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1629091044 + 19150131456 = 40362^2 + 138384^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20779222501) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 670297485 + ... + 670297515.

Almost surely, 2^20779222500 is an apocalyptic number.

20779222500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20779222500 is the 144150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20779222500

20779222500 is an abundant number, since it is smaller than the sum of its proper divisors (47044188155).

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

20779222500 is an frugal number, since it uses more digits than its factorization.

20779222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 20779222500 by its sum of digits (36), we get a 4-th power (748052010000 = 930⁴).

20779222500 divided by its sum of digits (36) gives a 4-th power (577200625 = 155⁴).

The spelling of 20779222500 in words is "twenty billion, seven hundred seventy-nine million, two hundred twenty-two thousand, five hundred".