220686392160 has 720 divisors, whose sum is σ = 893118242016. Its totient is φ = 51118718976.

The previous prime is 220686392153. The next prime is 220686392189. The reversal of 220686392160 is 61293686022.

220686392160 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 8 + 639 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37231117 + ... + 37237043.

Almost surely, 2^220686392160 is an apocalyptic number.

220686392160 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 220686392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446559121008).

220686392160 is an abundant number, since it is smaller than the sum of its proper divisors (672431849856).

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

220686392160 is a wasteful number, since it uses less digits than its factorization.

220686392160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 220686392160 in words is "two hundred twenty billion, six hundred eighty-six million, three hundred ninety-two thousand, one hundred sixty".