57129343488 has 720 divisors, whose sum is σ = 207068621760. Its totient is φ = 14810480640.

The previous prime is 57129343483. The next prime is 57129343499. The reversal of 57129343488 is 88434392175.

It is a happy number.

57129343488 is a `hidden beast` number, since 5 + 7 + 1 + 293 + 4 + 348 + 8 = 666.

It is a super-2 number, since 2×57129343488² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57129343483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 588962256 + ... + 588962352.

It is an arithmetic number, because the mean of its divisors is an integer number (287595308).

Almost surely, 2^57129343488 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 57129343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103534310880).

57129343488 is an abundant number, since it is smaller than the sum of its proper divisors (149939278272).

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

57129343488 is a wasteful number, since it uses less digits than its factorization.

57129343488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 159 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 57129343488 in words is "fifty-seven billion, one hundred twenty-nine million, three hundred forty-three thousand, four hundred eighty-eight".