506061116288 has 128 divisors (see below), whose sum is σ = 1244348118720. Its totient is φ = 199631241216.

The previous prime is 506061116261. The next prime is 506061116311. The reversal of 506061116288 is 882611160605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×506061116288⁴ (a number of 48 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4050206 + ... + 4173282.

Almost surely, 2^506061116288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506061116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622174059360).

506061116288 is an abundant number, since it is smaller than the sum of its proper divisors (738287002432).

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

506061116288 is a wasteful number, since it uses less digits than its factorization.

506061116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123464 (or 123452 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 506061116288 in words is "five hundred six billion, sixty-one million, one hundred sixteen thousand, two hundred eighty-eight".