575966129112 has 384 divisors, whose sum is σ = 1928866867200. Its totient is φ = 158966323200.

The previous prime is 575966129107. The next prime is 575966129113. The reversal of 575966129112 is 211921669575.

575966129112 is a `hidden beast` number, since 5 + 7 + 5 + 9 + 6 + 612 + 9 + 1 + 12 = 666.

It is a super-2 number, since 2×575966129112² (a number of 24 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (575966129113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11243814 + ... + 11294922.

It is an arithmetic number, because the mean of its divisors is an integer number (5023090800).

Almost surely, 2^575966129112 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 575966129112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964433433600).

575966129112 is an abundant number, since it is smaller than the sum of its proper divisors (1352900738088).

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

575966129112 is a wasteful number, since it uses less digits than its factorization.

575966129112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51189 (or 51173 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

It can be divided in two parts, 575966 and 129112, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 575966129112 in words is "five hundred seventy-five billion, nine hundred sixty-six million, one hundred twenty-nine thousand, one hundred twelve".