57093573427200 has 450 divisors, whose sum is σ = 211507736086416. Its totient is φ = 15224944066560.

The previous prime is 57093573427153. The next prime is 57093573427243. The reversal of 57093573427200 is 272437539075.

It is a happy number.

57093573427200 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 3 + 5 + 7 + 3 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×57093573427200² (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32317177 + ... + 34038023.

Almost surely, 2^{57093573427200} is an apocalyptic number.

57093573427200 is a gapful number since it is divisible by the number (50) 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 57093573427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753868043208).

57093573427200 is an abundant number, since it is smaller than the sum of its proper divisors (154414162659216).

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

57093573427200 is an equidigital number, since it uses as much as digits as its factorization.

57093573427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720897 (or 1720857 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 57093573427200 in words is "fifty-seven trillion, ninety-three billion, five hundred seventy-three million, four hundred twenty-seven thousand, two hundred".