220213554045420 has 192 divisors, whose sum is σ = 703230772164480. Its totient is φ = 51007518277632.

The previous prime is 220213554045253. The next prime is 220213554045449. The reversal of 220213554045420 is 24540455312022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64217844 + ... + 67560036.

It is an arithmetic number, because the mean of its divisors is an integer number (3662660271690).

Almost surely, 2^{220213554045420} is an apocalyptic number.

220213554045420 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 220213554045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351615386082240).

220213554045420 is an abundant number, since it is smaller than the sum of its proper divisors (483017218119060).

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

220213554045420 is a wasteful number, since it uses less digits than its factorization.

220213554045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347204 (or 3347202 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 220213554045420 in words is "two hundred twenty trillion, two hundred thirteen billion, five hundred fifty-four million, forty-five thousand, four hundred twenty".