516963409920 has 896 divisors, whose sum is σ = 1934504640000. Its totient is φ = 132434362368.

The previous prime is 516963409913. The next prime is 516963409951. The reversal of 516963409920 is 29904369615.

516963409920 is a `hidden beast` number, since 516 + 9 + 6 + 34 + 0 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×516963409920² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 2597805981 + ... + 2597806179.

Almost surely, 2^516963409920 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 516963409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967252320000).

516963409920 is an abundant number, since it is smaller than the sum of its proper divisors (1417541230080).

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

516963409920 is an frugal number, since it uses more digits than its factorization.

516963409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 516963409920 in words is "five hundred sixteen billion, nine hundred sixty-three million, four hundred nine thousand, nine hundred twenty".