220468389120 has 1296 divisors, whose sum is σ = 940460032512. Its totient is φ = 47470510080.

The previous prime is 220468389041. The next prime is 220468389139. The reversal of 220468389120 is 21983864022.

220468389120 is a `hidden beast` number, since 2 + 204 + 68 + 389 + 1 + 2 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 752451694 + ... + 752451986.

Almost surely, 2^220468389120 is an apocalyptic number.

220468389120 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 220468389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470230016256).

220468389120 is an abundant number, since it is smaller than the sum of its proper divisors (719991643392).

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

220468389120 is a wasteful number, since it uses less digits than its factorization.

220468389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 220468389120 in words is "two hundred twenty billion, four hundred sixty-eight million, three hundred eighty-nine thousand, one hundred twenty".