59985128112 has 240 divisors, whose sum is σ = 194747035392. Its totient is φ = 15769797120.

The previous prime is 59985128111. The next prime is 59985128117. The reversal of 59985128112 is 21182158995.

It is a super-2 number, since 2×59985128112² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59985128111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10117693 + ... + 10123619.

Almost surely, 2^59985128112 is an apocalyptic number.

59985128112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59985128112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97373517696).

59985128112 is an abundant number, since it is smaller than the sum of its proper divisors (134761907280).

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

59985128112 is a wasteful number, since it uses less digits than its factorization.

59985128112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6283 counting only the distinct ones).

The product of its digits is 518400, while the sum is 51.

The spelling of 59985128112 in words is "fifty-nine billion, nine hundred eighty-five million, one hundred twenty-eight thousand, one hundred twelve".