59818209801012 has 144 divisors (see below), whose sum is σ = 163936200879360. Its totient is φ = 18390523724352.

The previous prime is 59818209800977. The next prime is 59818209801059. The reversal of 59818209801012 is 21010890281895.

59818209801012 is a `hidden beast` number, since 598 + 1 + 8 + 20 + 9 + 8 + 0 + 10 + 12 = 666.

59818209801012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 59818209801012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96420313 + ... + 97038719.

It is an arithmetic number, because the mean of its divisors is an integer number (1138445839440).

Almost surely, 2^{59818209801012} is an apocalyptic number.

59818209801012 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 59818209801012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81968100439680).

59818209801012 is an abundant number, since it is smaller than the sum of its proper divisors (104117991078348).

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

59818209801012 is a wasteful number, since it uses less digits than its factorization.

59818209801012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619679 (or 619648 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 59818209801012 in words is "fifty-nine trillion, eight hundred eighteen billion, two hundred nine million, eight hundred one thousand, twelve".