508648519620864 has 1152 divisors, whose sum is σ = 1768511655321600. Its totient is φ = 142988478087168.

The previous prime is 508648519620859. The next prime is 508648519620889. The reversal of 508648519620864 is 468026915846805.

508648519620864 is a `hidden beast` number, since 5 + 0 + 8 + 6 + 4 + 8 + 519 + 6 + 20 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 508648519620792 and 508648519620801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61557362397 + ... + 61557370659.

Almost surely, 2^{508648519620864} is an apocalyptic number.

508648519620864 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 508648519620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884255827660800).

508648519620864 is an abundant number, since it is smaller than the sum of its proper divisors (1259863135700736).

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

508648519620864 is an equidigital number, since it uses as much as digits as its factorization.

508648519620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559 (or 8527 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 508648519620864 in words is "five hundred eight trillion, six hundred forty-eight billion, five hundred nineteen million, six hundred twenty thousand, eight hundred sixty-four".