57985433856 has 216 divisors, whose sum is σ = 196236133184. Its totient is φ = 16119336960.

The previous prime is 57985433827. The next prime is 57985433867. The reversal of 57985433856 is 65833458975.

57985433856 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 543 + 3 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 57985433793 and 57985433802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548151 + ... + 645321.

Almost surely, 2^57985433856 is an apocalyptic number.

57985433856 is a gapful number since it is divisible by the number (56) 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 57985433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98118066592).

57985433856 is an abundant number, since it is smaller than the sum of its proper divisors (138250699328).

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

57985433856 is a wasteful number, since it uses less digits than its factorization.

57985433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97237 (or 97220 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 57985433856 in words is "fifty-seven billion, nine hundred eighty-five million, four hundred thirty-three thousand, eight hundred fifty-six".