516364551136 has 144 divisors (see below), whose sum is σ = 1198939580496. Its totient is φ = 218251321344.

The previous prime is 516364551127. The next prime is 516364551169. The reversal of 516364551136 is 631155463615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44558335 + ... + 44569921.

It is an arithmetic number, because the mean of its divisors is an integer number (8325969309).

Almost surely, 2^516364551136 is an apocalyptic number.

516364551136 is a gapful number since it is divisible by the number (56) 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 516364551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599469790248).

516364551136 is an abundant number, since it is smaller than the sum of its proper divisors (682575029360).

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

516364551136 is a wasteful number, since it uses less digits than its factorization.

516364551136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11986 counting only the distinct ones).

The product of its digits is 972000, while the sum is 46.

The spelling of 516364551136 in words is "five hundred sixteen billion, three hundred sixty-four million, five hundred fifty-one thousand, one hundred thirty-six".