510800116248 has 256 divisors, whose sum is σ = 1478516976000. Its totient is φ = 163202457600.

The previous prime is 510800116199. The next prime is 510800116259. The reversal of 510800116248 is 842611008015.

510800116248 is a `hidden beast` number, since 5 + 10 + 8 + 0 + 0 + 11 + 624 + 8 = 666.

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

It is a congruent number.

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, 917055586 + ... + 917056142.

Almost surely, 2^510800116248 is an apocalyptic number.

510800116248 is a gapful number since it is divisible by the number (58) 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 510800116248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739258488000).

510800116248 is an abundant number, since it is smaller than the sum of its proper divisors (967716859752).

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

510800116248 is a wasteful number, since it uses less digits than its factorization.

510800116248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 510800116248 in words is "five hundred ten billion, eight hundred million, one hundred sixteen thousand, two hundred forty-eight".