221991922560 has 384 divisors, whose sum is σ = 763096826880. Its totient is φ = 54786969600.

The previous prime is 221991922553. The next prime is 221991922561. The reversal of 221991922560 is 65229199122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×221991922560³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221991922561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42435145 + ... + 42440375.

It is an arithmetic number, because the mean of its divisors is an integer number (1987231320).

Almost surely, 2^221991922560 is an apocalyptic number.

221991922560 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 221991922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381548413440).

221991922560 is an abundant number, since it is smaller than the sum of its proper divisors (541104904320).

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

221991922560 is a wasteful number, since it uses less digits than its factorization.

221991922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 221991922560 in words is "two hundred twenty-one billion, nine hundred ninety-one million, nine hundred twenty-two thousand, five hundred sixty".