57934863360 has 704 divisors, whose sum is σ = 232041369600. Its totient is φ = 13580697600.

The previous prime is 57934863359. The next prime is 57934863373. The reversal of 57934863360 is 6336843975.

57934863360 is a `hidden beast` number, since 5 + 79 + 3 + 486 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 57934863297 and 57934863306.

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 63 ways as a sum of consecutive naturals, for example, 47139226 + ... + 47140454.

Almost surely, 2^57934863360 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 57934863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116020684800).

57934863360 is an abundant number, since it is smaller than the sum of its proper divisors (174106506240).

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

57934863360 is a wasteful number, since it uses less digits than its factorization.

57934863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 57934863360 in words is "fifty-seven billion, nine hundred thirty-four million, eight hundred sixty-three thousand, three hundred sixty".