220089320755200 has 3744 divisors, whose sum is σ = 942669158645760. Its totient is φ = 48559266201600.

The previous prime is 220089320755123. The next prime is 220089320755303. The reversal of 220089320755200 is 2557023980022.

220089320755200 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 8 + 93 + 2 + 0 + 7 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×220089320755200² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 664922419035 + ... + 664922419365.

Almost surely, 2^{220089320755200} is an apocalyptic number.

220089320755200 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 220089320755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471334579322880).

220089320755200 is an abundant number, since it is smaller than the sum of its proper divisors (722579837890560).

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

220089320755200 is a wasteful number, since it uses less digits than its factorization.

220089320755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 220089320755200 in words is "two hundred twenty trillion, eighty-nine billion, three hundred twenty million, seven hundred fifty-five thousand, two hundred".