20212246560 has 384 divisors, whose sum is σ = 74189945088. Its totient is φ = 4609228800.

The previous prime is 20212246513. The next prime is 20212246573. The reversal of 20212246560 is 6564221202.

It is a happy number.

It is a super-2 number, since 2×20212246560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10860030 + ... + 10861890.

It is an arithmetic number, because the mean of its divisors is an integer number (193202982).

Almost surely, 2^20212246560 is an apocalyptic number.

20212246560 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 20212246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094972544).

20212246560 is an abundant number, since it is smaller than the sum of its proper divisors (53977698528).

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

20212246560 is a wasteful number, since it uses less digits than its factorization.

20212246560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20212246560 its reverse (6564221202), we get a palindrome (26776467762).

The spelling of 20212246560 in words is "twenty billion, two hundred twelve million, two hundred forty-six thousand, five hundred sixty".