517201920000 has 1020 divisors, whose sum is σ = 1980176628144. Its totient is φ = 129761280000.

The previous prime is 517201919981. The next prime is 517201920049. The reversal of 517201920000 is 29102715.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8478719970 + ... + 8478720030.

Almost surely, 2^517201920000 is an apocalyptic number.

517201920000 is a gapful number since it is divisible by the number (50) 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 517201920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990088314072).

517201920000 is an abundant number, since it is smaller than the sum of its proper divisors (1462974708144).

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

517201920000 is an frugal number, since it uses more digits than its factorization.

517201920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 517201920000 in words is "five hundred seventeen billion, two hundred one million, nine hundred twenty thousand".