220399211520 has 374 divisors, whose sum is σ = 793049734842. Its totient is φ = 58773123072.

The previous prime is 220399211503. The next prime is 220399211531. The reversal of 220399211520 is 25112993022.

220399211520 is a `hidden beast` number, since 2 + 2 + 0 + 39 + 92 + 11 + 520 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176319369216 + 44079842304 = 419904^2 + 209952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 33 ways as a sum of consecutive naturals, for example, 44079842302 + ... + 44079842306.

Almost surely, 2^220399211520 is an apocalyptic number.

220399211520 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 220399211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396524867421).

220399211520 is an abundant number, since it is smaller than the sum of its proper divisors (572650523322).

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

220399211520 is an frugal number, since it uses more digits than its factorization.

220399211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 220399211520 in words is "two hundred twenty billion, three hundred ninety-nine million, two hundred eleven thousand, five hundred twenty".