516506227776 has 2352 divisors, whose sum is σ = 2187572520960. Its totient is φ = 118983997440.

The previous prime is 516506227771. The next prime is 516506227801. The reversal of 516506227776 is 677722605615.

516506227776 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 0 + 622 + 7 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is not an unprimeable number, because it can be changed into a prime (516506227771) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10989494185 + ... + 10989494231.

Almost surely, 2^516506227776 is an apocalyptic number.

516506227776 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 516506227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093786260480).

516506227776 is an abundant number, since it is smaller than the sum of its proper divisors (1671066293184).

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

516506227776 is a wasteful number, since it uses less digits than its factorization.

516506227776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 516506227776 in words is "five hundred sixteen billion, five hundred six million, two hundred twenty-seven thousand, seven hundred seventy-six".