57935956806 has 240 divisors, whose sum is σ = 165512771424. Its totient is φ = 14749765632.

The previous prime is 57935956787. The next prime is 57935956829. The reversal of 57935956806 is 60865953975.

57935956806 is a `hidden beast` number, since 579 + 3 + 5 + 9 + 56 + 8 + 0 + 6 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 12395686 + ... + 12400358.

Almost surely, 2^57935956806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57935956806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82756385712).

57935956806 is an abundant number, since it is smaller than the sum of its proper divisors (107576814618).

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

57935956806 is a wasteful number, since it uses less digits than its factorization.

57935956806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 57935956806 in words is "fifty-seven billion, nine hundred thirty-five million, nine hundred fifty-six thousand, eight hundred six".