516978588672 has 1584 divisors, whose sum is σ = 2049583477760. Its totient is φ = 126701273088.

The previous prime is 516978588653. The next prime is 516978588673. The reversal of 516978588672 is 276885879615.

It is a super-2 number, since 2×516978588672² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (406425600) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 516978588672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516978588673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6544032729 + ... + 6544032807.

Almost surely, 2^516978588672 is an apocalyptic number.

516978588672 is a gapful number since it is divisible by the number (52) 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 516978588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024791738880).

516978588672 is an abundant number, since it is smaller than the sum of its proper divisors (1532604889088).

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

516978588672 is a wasteful number, since it uses less digits than its factorization.

516978588672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 121 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 516978588672 in words is "five hundred sixteen billion, nine hundred seventy-eight million, five hundred eighty-eight thousand, six hundred seventy-two".