222766252066800 has 1260 divisors, whose sum is σ = 917979071334360. Its totient is φ = 51608941240320.

The previous prime is 222766252066753. The next prime is 222766252066829. The reversal of 222766252066800 is 8660252667222.

It is a happy number.

222766252066800 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 6 + 625 + 2 + 0 + 6 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1095439531 + ... + 1095642869.

Almost surely, 2^{222766252066800} is an apocalyptic number.

222766252066800 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 222766252066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458989535667180).

222766252066800 is an abundant number, since it is smaller than the sum of its proper divisors (695212819267560).

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

222766252066800 is a wasteful number, since it uses less digits than its factorization.

222766252066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203422 (or 203379 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 222766252066800 in words is "two hundred twenty-two trillion, seven hundred sixty-six billion, two hundred fifty-two million, sixty-six thousand, eight hundred".