502020612864 has 1008 divisors, whose sum is σ = 1680930820800. Its totient is φ = 148988657664.

The previous prime is 502020612859. The next prime is 502020612911. The reversal of 502020612864 is 468216020205.

It is a happy number.

502020612864 is a `hidden beast` number, since 502 + 0 + 20 + 6 + 128 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4605693642 + ... + 4605693750.

It is an arithmetic number, because the mean of its divisors is an integer number (1667590100).

Almost surely, 2^502020612864 is an apocalyptic number.

502020612864 is a gapful number since it is divisible by the number (54) 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 502020612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840465410400).

502020612864 is an abundant number, since it is smaller than the sum of its proper divisors (1178910207936).

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

502020612864 is a wasteful number, since it uses less digits than its factorization.

502020612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 502020612864 in words is "five hundred two billion, twenty million, six hundred twelve thousand, eight hundred sixty-four".