221707820160 has 768 divisors, whose sum is σ = 858388752000. Its totient is φ = 52401143808.

The previous prime is 221707820111. The next prime is 221707820219. The reversal of 221707820160 is 61028707122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500468899 + ... + 500469341.

Almost surely, 2^221707820160 is an apocalyptic number.

221707820160 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 221707820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429194376000).

221707820160 is an abundant number, since it is smaller than the sum of its proper divisors (636680931840).

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

221707820160 is a wasteful number, since it uses less digits than its factorization.

221707820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 221707820160 in words is "two hundred twenty-one billion, seven hundred seven million, eight hundred twenty thousand, one hundred sixty".