57348424224000 has 2304 divisors, whose sum is σ = 261121760040960. Its totient is φ = 12070541721600.

The previous prime is 57348424223971. The next prime is 57348424224059. The reversal of 57348424224000 is 42242484375.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×57348424224000³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

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 255 ways as a sum of consecutive naturals, for example, 51341471442 + ... + 51341472558.

It is an arithmetic number, because the mean of its divisors is an integer number (113334097240).

Almost surely, 2^{57348424224000} is an apocalyptic number.

57348424224000 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 57348424224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560880020480).

57348424224000 is an abundant number, since it is smaller than the sum of its proper divisors (203773335816960).

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

57348424224000 is a wasteful number, since it uses less digits than its factorization.

57348424224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 57348424224000 in words is "fifty-seven trillion, three hundred forty-eight billion, four hundred twenty-four million, two hundred twenty-four thousand".