59850010000 has 200 divisors, whose sum is σ = 158630472000. Its totient is φ = 21687360000.

The previous prime is 59850009983. The next prime is 59850010039. The reversal of 59850010000 is 1005895.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38389221 + ... + 38390779.

It is an arithmetic number, because the mean of its divisors is an integer number (793152360).

Almost surely, 2^59850010000 is an apocalyptic number.

59850010000 is a gapful number since it is divisible by the number (50) 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 59850010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315236000).

59850010000 is an abundant number, since it is smaller than the sum of its proper divisors (98780462000).

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

59850010000 is a wasteful number, since it uses less digits than its factorization.

59850010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 59850010000 its reverse (1005895), we get a palindrome (59851015895).

The spelling of 59850010000 in words is "fifty-nine billion, eight hundred fifty million, ten thousand".