516106120244520 has 256 divisors, whose sum is σ = 1693483158528000. Its totient is φ = 125058361291776.

The previous prime is 516106120244513. The next prime is 516106120244581. The reversal of 516106120244520 is 25442021601615.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 148688551 + ... + 152120009.

It is an arithmetic number, because the mean of its divisors is an integer number (6615168588000).

Almost surely, 2^{516106120244520} 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 516106120244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846741579264000).

516106120244520 is an abundant number, since it is smaller than the sum of its proper divisors (1177377038283480).

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

516106120244520 is a wasteful number, since it uses less digits than its factorization.

516106120244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432992 (or 3432988 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 516106120244520 in words is "five hundred sixteen trillion, one hundred six billion, one hundred twenty million, two hundred forty-four thousand, five hundred twenty".