502049914679880 has 512 divisors, whose sum is σ = 1996989350400000. Its totient is φ = 112085558790912.

The previous prime is 502049914679851. The next prime is 502049914679897. The reversal of 502049914679880 is 88976419940205.

502049914679880 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 499 + 1 + 46 + 7 + 98 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 502049914679799 and 502049914679808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169851 + ... + 31687989.

It is an arithmetic number, because the mean of its divisors is an integer number (3900369825000).

Almost surely, 2^{502049914679880} 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 502049914679880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998494675200000).

502049914679880 is an abundant number, since it is smaller than the sum of its proper divisors (1494939435720120).

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

502049914679880 is a wasteful number, since it uses less digits than its factorization.

502049914679880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31518223 (or 31518199 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 502049914679880 in words is "five hundred two trillion, forty-nine billion, nine hundred fourteen million, six hundred seventy-nine thousand, eight hundred eighty".