509855194416672 has 384 divisors, whose sum is σ = 1615920968632320. Its totient is φ = 155463226490880.

The previous prime is 509855194416671. The next prime is 509855194416707. The reversal of 509855194416672 is 276614491558905.

509855194416672 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 5 + 51 + 9 + 441 + 66 + 72 = 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 509855194416672.

It is not an unprimeable number, because it can be changed into a prime (509855194416671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8042990097 + ... + 8043053487.

It is an arithmetic number, because the mean of its divisors is an integer number (4208127522480).

Almost surely, 2^{509855194416672} is an apocalyptic number.

509855194416672 is a gapful number since it is divisible by the number (52) 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 509855194416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807960484316160).

509855194416672 is an abundant number, since it is smaller than the sum of its proper divisors (1106065774215648).

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

509855194416672 is a wasteful number, since it uses less digits than its factorization.

509855194416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69873 (or 69859 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 509855194416672 in words is "five hundred nine trillion, eight hundred fifty-five billion, one hundred ninety-four million, four hundred sixteen thousand, six hundred seventy-two".