57768731731200 has 3456 divisors, whose sum is σ = 247016189952000. Its totient is φ = 11835113472000.

The previous prime is 57768731731187. The next prime is 57768731731223. The reversal of 57768731731200 is 213713786775.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 205582675060 + ... + 205582675340.

It is an arithmetic number, because the mean of its divisors is an integer number (71474592000).

Almost surely, 2^{57768731731200} is an apocalyptic number.

57768731731200 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 57768731731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123508094976000).

57768731731200 is an abundant number, since it is smaller than the sum of its proper divisors (189247458220800).

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

57768731731200 is a wasteful number, since it uses less digits than its factorization.

57768731731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 57768731731200 in words is "fifty-seven trillion, seven hundred sixty-eight billion, seven hundred thirty-one million, seven hundred thirty-one thousand, two hundred".