509304722976 has 192 divisors, whose sum is σ = 1700831381760. Its totient is φ = 145245726720.

The previous prime is 509304722959. The next prime is 509304722987. The reversal of 509304722976 is 679227403905.

509304722976 is a `hidden beast` number, since 50 + 9 + 30 + 472 + 2 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3194140 + ... + 3349796.

It is an arithmetic number, because the mean of its divisors is an integer number (8858496780).

Almost surely, 2^509304722976 is an apocalyptic number.

509304722976 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 509304722976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850415690880).

509304722976 is an abundant number, since it is smaller than the sum of its proper divisors (1191526658784).

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

509304722976 is a wasteful number, since it uses less digits than its factorization.

509304722976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156224 (or 156210 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 509304722976 in words is "five hundred nine billion, three hundred four million, seven hundred twenty-two thousand, nine hundred seventy-six".