57968068773888 has 4320 divisors, whose sum is σ = 244023411111480. Its totient is φ = 13537734819840.

The previous prime is 57968068773887. The next prime is 57968068773913. The reversal of 57968068773888 is 88837786086975.

57968068773888 is a `hidden beast` number, since 5 + 7 + 96 + 80 + 68 + 7 + 7 + 388 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31478024438784 + 26490044335104 = 5610528^2 + 5146848^2 .

It is a super-3 number, since 3×57968068773888³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57968068773798 and 57968068773807.

It is not an unprimeable number, because it can be changed into a prime (57968068773887) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 950296209378 + ... + 950296209438.

Almost surely, 2^{57968068773888} 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 57968068773888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122011705555740).

57968068773888 is an abundant number, since it is smaller than the sum of its proper divisors (186055342337592).

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

57968068773888 is a wasteful number, since it uses less digits than its factorization.

57968068773888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 54623600640, while the sum is 90.

The spelling of 57968068773888 in words is "fifty-seven trillion, nine hundred sixty-eight billion, sixty-eight million, seven hundred seventy-three thousand, eight hundred eighty-eight".