222035655394800 has 1200 divisors, whose sum is σ = 895925272112640. Its totient is φ = 52252478023680.

The previous prime is 222035655394759. The next prime is 222035655394807. The reversal of 222035655394800 is 8493556530222.

It is a happy number.

222035655394800 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 3 + 5 + 6 + 553 + 9 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222035655394807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24984315957 + ... + 24984324843.

Almost surely, 2^{222035655394800} is an apocalyptic number.

222035655394800 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 222035655394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447962636056320).

222035655394800 is an abundant number, since it is smaller than the sum of its proper divisors (673889616717840).

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

222035655394800 is a wasteful number, since it uses less digits than its factorization.

222035655394800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 222035655394800 in words is "two hundred twenty-two trillion, thirty-five billion, six hundred fifty-five million, three hundred ninety-four thousand, eight hundred".