516544077685152 has 1152 divisors, whose sum is σ = 1645953449656320. Its totient is φ = 141254500147200.

The previous prime is 516544077685151. The next prime is 516544077685171. The reversal of 516544077685152 is 251586770445615.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (516544077685151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104711953278 + ... + 104711958210.

It is an arithmetic number, because the mean of its divisors is an integer number (1428779036160).

Almost surely, 2^{516544077685152} 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 516544077685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822976724828160).

516544077685152 is an abundant number, since it is smaller than the sum of its proper divisors (1129409371971168).

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

516544077685152 is a wasteful number, since it uses less digits than its factorization.

516544077685152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 66.

The spelling of 516544077685152 in words is "five hundred sixteen trillion, five hundred forty-four billion, seventy-seven million, six hundred eighty-five thousand, one hundred fifty-two".