508089164040960 has 576 divisors, whose sum is σ = 1676330572815360. Its totient is φ = 131074531983360.

The previous prime is 508089164040893. The next prime is 508089164040973. The reversal of 508089164040960 is 69040461980805.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 508089164040894 and 508089164040903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74818015165 + ... + 74818021955.

It is an arithmetic number, because the mean of its divisors is an integer number (2910296133360).

Almost surely, 2^{508089164040960} 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 508089164040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838165286407680).

508089164040960 is an abundant number, since it is smaller than the sum of its proper divisors (1168241408774400).

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

508089164040960 is a wasteful number, since it uses less digits than its factorization.

508089164040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 508089164040960 in words is "five hundred eight trillion, eighty-nine billion, one hundred sixty-four million, forty thousand, nine hundred sixty".