22766030705220 has 384 divisors, whose sum is σ = 74938437826560. Its totient is φ = 5104496517120.

The previous prime is 22766030705203. The next prime is 22766030705267. The reversal of 22766030705220 is 2250703066722.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1257991212 + ... + 1258009308.

It is an arithmetic number, because the mean of its divisors is an integer number (195152181840).

Almost surely, 2^{22766030705220} is an apocalyptic number.

22766030705220 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 22766030705220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37469218913280).

22766030705220 is an abundant number, since it is smaller than the sum of its proper divisors (52172407121340).

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

22766030705220 is a wasteful number, since it uses less digits than its factorization.

22766030705220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20515 (or 20513 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 22766030705220 in words is "twenty-two trillion, seven hundred sixty-six billion, thirty million, seven hundred five thousand, two hundred twenty".