59582198052 has 120 divisors (see below), whose sum is σ = 168341432952. Its totient is φ = 18267379200.

The previous prime is 59582198041. The next prime is 59582198083. The reversal of 59582198052 is 25089128595.

59582198052 is a `hidden beast` number, since 5 + 9 + 582 + 1 + 9 + 8 + 0 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5899161636 + 53683036416 = 76806^2 + 231696^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 59582198052.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1158402 + ... + 1208742.

Almost surely, 2^59582198052 is an apocalyptic number.

59582198052 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 59582198052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84170716476).

59582198052 is an abundant number, since it is smaller than the sum of its proper divisors (108759234900).

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

59582198052 is a wasteful number, since it uses less digits than its factorization.

59582198052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50651 (or 50640 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 59582198052 in words is "fifty-nine billion, five hundred eighty-two million, one hundred ninety-eight thousand, fifty-two".