220398486429600 has 1152 divisors, whose sum is σ = 888918105600000. Its totient is φ = 52374816276480.

The previous prime is 220398486429571. The next prime is 220398486429683. The reversal of 220398486429600 is 6924684893022.

220398486429600 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 98 + 486 + 4 + 2 + 9 + 60 + 0 = 666.

220398486429600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13946615299 + ... + 13946631101.

It is an arithmetic number, because the mean of its divisors is an integer number (771630300000).

Almost surely, 2^{220398486429600} is an apocalyptic number.

220398486429600 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 220398486429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444459052800000).

220398486429600 is an abundant number, since it is smaller than the sum of its proper divisors (668519619170400).

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

220398486429600 is a wasteful number, since it uses less digits than its factorization.

220398486429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17867 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 220398486429600 in words is "two hundred twenty trillion, three hundred ninety-eight billion, four hundred eighty-six million, four hundred twenty-nine thousand, six hundred".