20309122295280 has 560 divisors, whose sum is σ = 87133164995520. Its totient is φ = 4285000507392.

The previous prime is 20309122295261. The next prime is 20309122295291. The reversal of 20309122295280 is 8259222190302.

20309122295280 is a `hidden beast` number, since 2 + 0 + 30 + 91 + 2 + 2 + 2 + 9 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3393736 + ... + 7220504.

It is an arithmetic number, because the mean of its divisors is an integer number (155594937492).

Almost surely, 2^{20309122295280} is an apocalyptic number.

20309122295280 is a gapful number since it is divisible by the number (20) 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 20309122295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43566582497760).

20309122295280 is an abundant number, since it is smaller than the sum of its proper divisors (66824042700240).

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

20309122295280 is a wasteful number, since it uses less digits than its factorization.

20309122295280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826820 (or 3826799 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20309122295280 in words is "twenty trillion, three hundred nine billion, one hundred twenty-two million, two hundred ninety-five thousand, two hundred eighty".