501889142016 has 432 divisors, whose sum is σ = 1509854201856. Its totient is φ = 160229228544.

The previous prime is 501889141987. The next prime is 501889142017. The reversal of 501889142016 is 610241988105.

It is a happy number.

501889142016 is a `hidden beast` number, since 50 + 1 + 88 + 91 + 420 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501889142017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421782096 + ... + 1421782448.

Almost surely, 2^501889142016 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 501889142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754927100928).

501889142016 is an abundant number, since it is smaller than the sum of its proper divisors (1007965059840).

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

501889142016 is a wasteful number, since it uses less digits than its factorization.

501889142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 501889142016 in words is "five hundred one billion, eight hundred eighty-nine million, one hundred forty-two thousand, sixteen".