220645137960 has 192 divisors, whose sum is σ = 772514804880. Its totient is φ = 54294589440.

The previous prime is 220645137919. The next prime is 220645138003. The reversal of 220645137960 is 69731546022.

220645137960 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 4 + 513 + 79 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15811050564 + 204834087396 = 125742^2 + 452586^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18980950 + ... + 18992570.

Almost surely, 2^220645137960 is an apocalyptic number.

220645137960 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 220645137960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386257402440).

220645137960 is an abundant number, since it is smaller than the sum of its proper divisors (551869666920).

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

220645137960 is a wasteful number, since it uses less digits than its factorization.

220645137960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15708 (or 15701 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 220645137960 in words is "two hundred twenty billion, six hundred forty-five million, one hundred thirty-seven thousand, nine hundred sixty".