502534351872 has 264 divisors, whose sum is σ = 1689652033056. Its totient is φ = 140871204864.

The previous prime is 502534351871. The next prime is 502534351877. The reversal of 502534351872 is 278153435205.

502534351872 is a `hidden beast` number, since 5 + 0 + 2 + 534 + 35 + 1 + 87 + 2 = 666.

It is a super-2 number, since 2×502534351872² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (502534351871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345648 + ... + 3492624.

Almost surely, 2^502534351872 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 502534351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844826016528).

502534351872 is an abundant number, since it is smaller than the sum of its proper divisors (1187117681184).

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

502534351872 is a wasteful number, since it uses less digits than its factorization.

502534351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147063 (or 147042 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 502534351872 in words is "five hundred two billion, five hundred thirty-four million, three hundred fifty-one thousand, eight hundred seventy-two".