501852386880 has 2688 divisors, whose sum is σ = 2264654246400. Its totient is φ = 104342224896.

The previous prime is 501852386869. The next prime is 501852386921. The reversal of 501852386880 is 88683258105.

It is a happy number.

501852386880 is a `hidden beast` number, since 5 + 0 + 185 + 2 + 386 + 8 + 80 = 666.

501852386880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×501852386880³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9468912934 + ... + 9468912986.

It is an arithmetic number, because the mean of its divisors is an integer number (842505300).

Almost surely, 2^501852386880 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 501852386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132327123200).

501852386880 is an abundant number, since it is smaller than the sum of its proper divisors (1762801859520).

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

501852386880 is a wasteful number, since it uses less digits than its factorization.

501852386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 501852386880 in words is "five hundred one billion, eight hundred fifty-two million, three hundred eighty-six thousand, eight hundred eighty".