220795766352 has 960 divisors, whose sum is σ = 841917542400. Its totient is φ = 54867456000.

The previous prime is 220795766311. The next prime is 220795766381. The reversal of 220795766352 is 253667597022.

220795766352 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 9 + 576 + 63 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294001977 + ... + 294002727.

It is an arithmetic number, because the mean of its divisors is an integer number (876997440).

Almost surely, 2^220795766352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220795766352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420958771200).

220795766352 is an abundant number, since it is smaller than the sum of its proper divisors (621121776048).

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

220795766352 is a wasteful number, since it uses less digits than its factorization.

220795766352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 220795766352 in words is "two hundred twenty billion, seven hundred ninety-five million, seven hundred sixty-six thousand, three hundred fifty-two".