220398921600 has 768 divisors, whose sum is σ = 858530050560. Its totient is φ = 48992256000.

The previous prime is 220398921583. The next prime is 220398921601. The reversal of 220398921600 is 6129893022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220398921601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248476357 + ... + 248477243.

It is an arithmetic number, because the mean of its divisors is an integer number (1117877670).

Almost surely, 2^220398921600 is an apocalyptic number.

220398921600 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 220398921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429265025280).

220398921600 is an abundant number, since it is smaller than the sum of its proper divisors (638131128960).

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

220398921600 is a wasteful number, since it uses less digits than its factorization.

220398921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 220398921600 in words is "two hundred twenty billion, three hundred ninety-eight million, nine hundred twenty-one thousand, six hundred".