220737871872000 has 4896 divisors, whose sum is σ = 1004590688984064. Its totient is φ = 48157949952000.

The previous prime is 220737871871977. The next prime is 220737871872029. The reversal of 220737871872000 is 278178737022.

220737871872000 is a `hidden beast` number, since 220 + 7 + 3 + 78 + 71 + 87 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3023806463964 + ... + 3023806464036.

Almost surely, 2^{220737871872000} is an apocalyptic number.

220737871872000 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 220737871872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502295344492032).

220737871872000 is an abundant number, since it is smaller than the sum of its proper divisors (783852817112064).

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

220737871872000 is an frugal number, since it uses more digits than its factorization.

220737871872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 220737871872000 in words is "two hundred twenty trillion, seven hundred thirty-seven billion, eight hundred seventy-one million, eight hundred seventy-two thousand".