57665483712 has 280 divisors, whose sum is σ = 180550694016. Its totient is φ = 18161459712.

The previous prime is 57665483653. The next prime is 57665483737. The reversal of 57665483712 is 21738456675.

57665483712 is a `hidden beast` number, since 5 + 7 + 66 + 548 + 37 + 1 + 2 = 666.

It is a super-3 number, since 3×57665483712³ (a number of 33 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9893343 + ... + 9899169.

Almost surely, 2^57665483712 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 57665483712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90275347008).

57665483712 is an abundant number, since it is smaller than the sum of its proper divisors (122885210304).

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

57665483712 is a wasteful number, since it uses less digits than its factorization.

57665483712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5938 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 57665483712 in words is "fifty-seven billion, six hundred sixty-five million, four hundred eighty-three thousand, seven hundred twelve".