508728658874040 has 320 divisors, whose sum is σ = 1865619409104000. Its totient is φ = 123309581679360.

The previous prime is 508728658874017. The next prime is 508728658874087. The reversal of 508728658874040 is 40478856827805.

508728658874040 is a `hidden beast` number, since 5 + 0 + 87 + 2 + 8 + 65 + 8 + 87 + 404 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 508728658874040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236254971 + ... + 238398549.

It is an arithmetic number, because the mean of its divisors is an integer number (5830060653450).

Almost surely, 2^{508728658874040} 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 508728658874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932809704552000).

508728658874040 is an abundant number, since it is smaller than the sum of its proper divisors (1356890750229960).

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

508728658874040 is a wasteful number, since it uses less digits than its factorization.

508728658874040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150272 (or 2150259 counting only the distinct ones).

The product of its (nonzero) digits is 963379200, while the sum is 72.

The spelling of 508728658874040 in words is "five hundred eight trillion, seven hundred twenty-eight billion, six hundred fifty-eight million, eight hundred seventy-four thousand, forty".