221020152334800 has 960 divisors, whose sum is σ = 894299219520000. Its totient is φ = 45410844672000.

The previous prime is 221020152334711. The next prime is 221020152334823. The reversal of 221020152334800 is 8433251020122.

It is a congruent number.

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, 2422119576 + ... + 2422210824.

It is an arithmetic number, because the mean of its divisors is an integer number (931561687000).

Almost surely, 2^{221020152334800} is an apocalyptic number.

221020152334800 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 221020152334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447149609760000).

221020152334800 is an abundant number, since it is smaller than the sum of its proper divisors (673279067185200).

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

221020152334800 is a wasteful number, since it uses less digits than its factorization.

221020152334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91872 (or 91861 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 221020152334800 in words is "two hundred twenty-one trillion, twenty billion, one hundred fifty-two million, three hundred thirty-four thousand, eight hundred".