220992115968000 has 3456 divisors, whose sum is σ = 924134260140000. Its totient is φ = 52371770572800.

The previous prime is 220992115967969. The next prime is 220992115968077. The reversal of 220992115968000 is 869511299022.

220992115968000 is a `hidden beast` number, since 2 + 20 + 9 + 9 + 21 + 1 + 596 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16203651941376 + 204788464026624 = 4025376^2 + 14310432^2 .

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 633215231826 + ... + 633215232174.

Almost surely, 2^{220992115968000} is an apocalyptic number.

220992115968000 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 220992115968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462067130070000).

220992115968000 is an abundant number, since it is smaller than the sum of its proper divisors (703142144172000).

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

220992115968000 is an frugal number, since it uses more digits than its factorization.

220992115968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 220992115968000 in words is "two hundred twenty trillion, nine hundred ninety-two billion, one hundred fifteen million, nine hundred sixty-eight thousand".