59061218112 has 168 divisors, whose sum is σ = 188597758440. Its totient is φ = 17545973760.

The previous prime is 59061218093. The next prime is 59061218113. The reversal of 59061218112 is 21181216095.

59061218112 is a `hidden beast` number, since 590 + 61 + 2 + 1 + 8 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8608870656 + 50452347456 = 92784^2 + 224616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59061218113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81162 + ... + 353142.

It is an arithmetic number, because the mean of its divisors is an integer number (1122605705).

Almost surely, 2^59061218112 is an apocalyptic number.

59061218112 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 59061218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94298879220).

59061218112 is an abundant number, since it is smaller than the sum of its proper divisors (129536540328).

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

59061218112 is a wasteful number, since it uses less digits than its factorization.

59061218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272041 (or 272028 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 59061218112 in words is "fifty-nine billion, sixty-one million, two hundred eighteen thousand, one hundred twelve".