57344005603500 has 768 divisors, whose sum is σ = 210747372466176. Its totient is φ = 11769753600000.

The previous prime is 57344005603427. The next prime is 57344005603513. The reversal of 57344005603500 is 530650044375.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6061088770 + ... + 6061098230.

It is an arithmetic number, because the mean of its divisors is an integer number (274410641232).

Almost surely, 2^{57344005603500} is an apocalyptic number.

57344005603500 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 57344005603500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105373686233088).

57344005603500 is an abundant number, since it is smaller than the sum of its proper divisors (153403366862676).

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

57344005603500 is a wasteful number, since it uses less digits than its factorization.

57344005603500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

Adding to 57344005603500 its reverse (530650044375), we get a palindrome (57874655647875).

The spelling of 57344005603500 in words is "fifty-seven trillion, three hundred forty-four billion, five million, six hundred three thousand, five hundred".