57223418730192 has 900 divisors, whose sum is σ = 202585121521860. Its totient is φ = 15489680025600.

The previous prime is 57223418730187. The next prime is 57223418730229. The reversal of 57223418730192 is 29103781432275.

57223418730192 is a `hidden beast` number, since 5 + 7 + 2 + 2 + 3 + 418 + 7 + 30 + 192 = 666.

57223418730192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15528296835216 + 41695121894976 = 3940596^2 + 6457176^2 .

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

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1959087684 + ... + 1959116892.

Almost surely, 2^{57223418730192} is an apocalyptic number.

57223418730192 is a gapful number since it is divisible by the number (52) 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 57223418730192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101292560760930).

57223418730192 is an abundant number, since it is smaller than the sum of its proper divisors (145361702791668).

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

57223418730192 is a wasteful number, since it uses less digits than its factorization.

57223418730192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29326 (or 29269 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57223418730192 in words is "fifty-seven trillion, two hundred twenty-three billion, four hundred eighteen million, seven hundred thirty thousand, one hundred ninety-two".