509120297634816 has 704 divisors, whose sum is σ = 1854436989864960. Its totient is φ = 134661879889920.

The previous prime is 509120297634679. The next prime is 509120297634827. The reversal of 509120297634816 is 618436792021905.

509120297634816 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 2 + 0 + 2 + 97 + 63 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 199428451 + ... + 201965213.

It is a 1-persistent number, because it is pandigital, but 2⋅509120297634816 = 1018240595269632 is not.

Almost surely, 2^{509120297634816} is an apocalyptic number.

509120297634816 is a gapful number since it is divisible by the number (56) 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 509120297634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927218494932480).

509120297634816 is an abundant number, since it is smaller than the sum of its proper divisors (1345316692230144).

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

509120297634816 is a wasteful number, since it uses less digits than its factorization.

509120297634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536877 (or 2536853 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 509120297634816 in words is "five hundred nine trillion, one hundred twenty billion, two hundred ninety-seven million, six hundred thirty-four thousand, eight hundred sixteen".