220320553153200 has 120 divisors (see below), whose sum is σ = 705905378891856. Its totient is φ = 58740059520000.

The previous prime is 220320553153193. The next prime is 220320553153201. The reversal of 220320553153200 is 2351355023022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×220320553153200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220320553153201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13051851 + ... + 24718250.

Almost surely, 2^{220320553153200} is an apocalyptic number.

220320553153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220320553153200 is an abundant number, since it is smaller than the sum of its proper divisors (485584825738656).

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

220320553153200 is a wasteful number, since it uses less digits than its factorization.

220320553153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37774983 (or 37774972 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 220320553153200 in words is "two hundred twenty trillion, three hundred twenty billion, five hundred fifty-three million, one hundred fifty-three thousand, two hundred".