220715165952 has 504 divisors, whose sum is σ = 709730814744. Its totient is φ = 68223762432.

The previous prime is 220715165947. The next prime is 220715165987. The reversal of 220715165952 is 259561517022.

220715165952 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 1 + 51 + 6 + 595 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56865079296 + 163850086656 = 238464^2 + 404784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220715165898 and 220715165907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 231599908 + ... + 231600860.

It is an arithmetic number, because the mean of its divisors is an integer number (1408196061).

Almost surely, 2^220715165952 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 220715165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354865407372).

220715165952 is an abundant number, since it is smaller than the sum of its proper divisors (489015648792).

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

220715165952 is an frugal number, since it uses more digits than its factorization.

220715165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 220715165952 in words is "two hundred twenty billion, seven hundred fifteen million, one hundred sixty-five thousand, nine hundred fifty-two".