59242586112 has 560 divisors, whose sum is σ = 192842327040. Its totient is φ = 18059231232.

The previous prime is 59242586107. The next prime is 59242586129. The reversal of 59242586112 is 21168524295.

59242586112 is a `hidden beast` number, since 5 + 9 + 2 + 4 + 25 + 8 + 611 + 2 = 666.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 466476993 + ... + 466477119.

Almost surely, 2^59242586112 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 59242586112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96421163520).

59242586112 is an abundant number, since it is smaller than the sum of its proper divisors (133599740928).

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

59242586112 is a wasteful number, since it uses less digits than its factorization.

59242586112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 59242586112 in words is "fifty-nine billion, two hundred forty-two million, five hundred eighty-six thousand, one hundred twelve".