10222573183200 has 1296 divisors, whose sum is σ = 43142363462016. Its totient is φ = 2313826560000.

The previous prime is 10222573183177. The next prime is 10222573183201. The reversal of 10222573183200 is 238137522201.

10222573183200 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 573 + 1 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (10222573183201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40727383075 + ... + 40727383325.

It is an arithmetic number, because the mean of its divisors is an integer number (33288860696).

Almost surely, 2^{10222573183200} is an apocalyptic number.

10222573183200 is a gapful number since it is divisible by the number (10) 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 10222573183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571181731008).

10222573183200 is an abundant number, since it is smaller than the sum of its proper divisors (32919790278816).

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

10222573183200 is an equidigital number, since it uses as much as digits as its factorization.

10222573183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10222573183200 in words is "ten trillion, two hundred twenty-two billion, five hundred seventy-three million, one hundred eighty-three thousand, two hundred".