501980008817664 has 704 divisors, whose sum is σ = 1649518072876800. Its totient is φ = 149837919289344.

The previous prime is 501980008817641. The next prime is 501980008817713. The reversal of 501980008817664 is 466718800089105.

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, 1695254967 + ... + 1695551049.

Almost surely, 2^{501980008817664} is an apocalyptic number.

501980008817664 is a gapful number since it is divisible by the number (54) 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 501980008817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824759036438400).

501980008817664 is an abundant number, since it is smaller than the sum of its proper divisors (1147538064059136).

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

501980008817664 is a wasteful number, since it uses less digits than its factorization.

501980008817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296267 (or 296243 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 501980008817664 in words is "five hundred one trillion, nine hundred eighty billion, eight million, eight hundred seventeen thousand, six hundred sixty-four".