220387828320 has 768 divisors, whose sum is σ = 864711106560. Its totient is φ = 51974092800.

The previous prime is 220387828303. The next prime is 220387828321. The reversal of 220387828320 is 23828783022.

220387828320 is a `hidden beast` number, since 220 + 3 + 87 + 8 + 28 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220387828321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280034967 + ... + 280035753.

It is an arithmetic number, because the mean of its divisors is an integer number (1125925920).

Almost surely, 2^220387828320 is an apocalyptic number.

220387828320 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 220387828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432355553280).

220387828320 is an abundant number, since it is smaller than the sum of its proper divisors (644323278240).

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

220387828320 is a wasteful number, since it uses less digits than its factorization.

220387828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 220387828320 in words is "two hundred twenty billion, three hundred eighty-seven million, eight hundred twenty-eight thousand, three hundred twenty".