57341096800 has 288 divisors, whose sum is σ = 161007194880. Its totient is φ = 19779379200.

The previous prime is 57341096779. The next prime is 57341096833. The reversal of 57341096800 is 869014375.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9346534 + ... + 9352666.

It is an arithmetic number, because the mean of its divisors is an integer number (559052760).

Almost surely, 2^57341096800 is an apocalyptic number.

57341096800 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 57341096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80503597440).

57341096800 is an abundant number, since it is smaller than the sum of its proper divisors (103666098080).

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

57341096800 is a wasteful number, since it uses less digits than its factorization.

57341096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 57341096800 in words is "fifty-seven billion, three hundred forty-one million, ninety-six thousand, eight hundred".