221157586021800 has 192 divisors, whose sum is σ = 695500092288000. Its totient is φ = 58125399770880.

The previous prime is 221157586021783. The next prime is 221157586021811. The reversal of 221157586021800 is 8120685751122.

It is a self number, because there is not a number n which added to its sum of digits gives 221157586021800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22542531 + ... + 30829869.

It is an arithmetic number, because the mean of its divisors is an integer number (3622396314000).

Almost surely, 2^{221157586021800} is an apocalyptic number.

221157586021800 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 221157586021800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347750046144000).

221157586021800 is an abundant number, since it is smaller than the sum of its proper divisors (474342506266200).

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

221157586021800 is a wasteful number, since it uses less digits than its factorization.

221157586021800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288000 (or 8287991 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 221157586021800 in words is "two hundred twenty-one trillion, one hundred fifty-seven billion, five hundred eighty-six million, twenty-one thousand, eight hundred".