57349407302400 has 432 divisors, whose sum is σ = 200431123649568. Its totient is φ = 14391214080000.

The previous prime is 57349407302393. The next prime is 57349407302419. The reversal of 57349407302400 is 420370494375.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57349407302400.

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 47 ways as a sum of consecutive naturals, for example, 2853052350 + ... + 2853072450.

It is an arithmetic number, because the mean of its divisors is an integer number (463960934374).

Almost surely, 2^{57349407302400} is an apocalyptic number.

57349407302400 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 57349407302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100215561824784).

57349407302400 is an abundant number, since it is smaller than the sum of its proper divisors (143081716347168).

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

57349407302400 is a wasteful number, since it uses less digits than its factorization.

57349407302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28888 (or 28869 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

Adding to 57349407302400 its reverse (420370494375), we get a palindrome (57769777796775).

The spelling of 57349407302400 in words is "fifty-seven trillion, three hundred forty-nine billion, four hundred seven million, three hundred two thousand, four hundred".