517138565857920 has 1024 divisors, whose sum is σ = 1988692188480000. Its totient is φ = 126558805819392.

The previous prime is 517138565857919. The next prime is 517138565857973. The reversal of 517138565857920 is 29758565831715.

517138565857920 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 3 + 8 + 565 + 8 + 57 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×517138565857920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 2781762412 + ... + 2781948308.

Almost surely, 2^{517138565857920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517138565857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994346094240000).

517138565857920 is an abundant number, since it is smaller than the sum of its proper divisors (1471553622622080).

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

517138565857920 is a wasteful number, since it uses less digits than its factorization.

517138565857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186210 (or 186192 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 72.

The spelling of 517138565857920 in words is "five hundred seventeen trillion, one hundred thirty-eight billion, five hundred sixty-five million, eight hundred fifty-seven thousand, nine hundred twenty".