222033127680 has 1296 divisors, whose sum is σ = 977101332480. Its totient is φ = 46132789248.

The previous prime is 222033127669. The next prime is 222033127717. The reversal of 222033127680 is 86721330222.

222033127680 is a `hidden beast` number, since 2 + 220 + 331 + 27 + 6 + 80 = 666.

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 143 ways as a sum of consecutive naturals, for example, 579720769 + ... + 579721151.

Almost surely, 2^222033127680 is an apocalyptic number.

222033127680 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 222033127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488550666240).

222033127680 is an abundant number, since it is smaller than the sum of its proper divisors (755068204800).

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

222033127680 is a wasteful number, since it uses less digits than its factorization.

222033127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 222033127680 in words is "two hundred twenty-two billion, thirty-three million, one hundred twenty-seven thousand, six hundred eighty".