32221255680 has 576 divisors, whose sum is σ = 121058945280. Its totient is φ = 8204156928.

The previous prime is 32221255673. The next prime is 32221255687. The reversal of 32221255680 is 8655212223.

It is a happy number.

32221255680 is a `hidden beast` number, since 3 + 2 + 2 + 21 + 2 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (32221255673) and next prime (32221255687).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32221255687) 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, 57231079 + ... + 57231641.

It is an arithmetic number, because the mean of its divisors is an integer number (210171780).

Almost surely, 2^32221255680 is an apocalyptic number.

32221255680 is a gapful number since it is divisible by the number (30) 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 32221255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60529472640).

32221255680 is an abundant number, since it is smaller than the sum of its proper divisors (88837689600).

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

32221255680 is an equidigital number, since it uses as much as digits as its factorization.

32221255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 32221255680 in words is "thirty-two billion, two hundred twenty-one million, two hundred fifty-five thousand, six hundred eighty".