57303687168 has 840 divisors, whose sum is σ = 214759111248. Its totient is φ = 14906032128.

The previous prime is 57303687143. The next prime is 57303687229. The reversal of 57303687168 is 86178630375.

57303687168 is a `hidden beast` number, since 573 + 0 + 3 + 6 + 8 + 7 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784981980 + ... + 784982052.

Almost surely, 2^57303687168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57303687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107379555624).

57303687168 is an abundant number, since it is smaller than the sum of its proper divisors (157455424080).

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

57303687168 is an equidigital number, since it uses as much as digits as its factorization.

57303687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57303687168 in words is "fifty-seven billion, three hundred three million, six hundred eighty-seven thousand, one hundred sixty-eight".