57747559968 has 216 divisors, whose sum is σ = 196195764492. Its totient is φ = 16053230592.

The previous prime is 57747559963. The next prime is 57747560023. The reversal of 57747559968 is 86995574775.

57747559968 is a `hidden beast` number, since 5 + 7 + 7 + 4 + 7 + 559 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51552610704 + 6194949264 = 227052^2 + 78708^2 .

It is a super-2 number, since 2×57747559968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57747559896 and 57747559905.

It is not an unprimeable number, because it can be changed into a prime (57747559963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466846 + ... + 577442.

Almost surely, 2^57747559968 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 57747559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98097882246).

57747559968 is an abundant number, since it is smaller than the sum of its proper divisors (138448204524).

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

57747559968 is a wasteful number, since it uses less digits than its factorization.

57747559968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110664 (or 110646 counting only the distinct ones).

The product of its digits is 666792000, while the sum is 72.

The spelling of 57747559968 in words is "fifty-seven billion, seven hundred forty-seven million, five hundred fifty-nine thousand, nine hundred sixty-eight".