57829780800 has 504 divisors, whose sum is σ = 231478970112. Its totient is φ = 13565952000.

The previous prime is 57829780793. The next prime is 57829780847. The reversal of 57829780800 is 808792875.

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 71 ways as a sum of consecutive naturals, for example, 4904512 + ... + 4916288.

Almost surely, 2^57829780800 is an apocalyptic number.

57829780800 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 57829780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115739485056).

57829780800 is an abundant number, since it is smaller than the sum of its proper divisors (173649189312).

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

57829780800 is a wasteful number, since it uses less digits than its factorization.

57829780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 57829780800 in words is "fifty-seven billion, eight hundred twenty-nine million, seven hundred eighty thousand, eight hundred".