516728196600 has 384 divisors, whose sum is σ = 2037887424000. Its totient is φ = 107371622400.

The previous prime is 516728196583. The next prime is 516728196653. The reversal of 516728196600 is 6691827615.

It is a super-2 number, since 2×516728196600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2149672 + ... + 2377928.

It is an arithmetic number, because the mean of its divisors is an integer number (5306998500).

Almost surely, 2^516728196600 is an apocalyptic number.

516728196600 is a gapful number since it is divisible by the number (50) 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 516728196600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018943712000).

516728196600 is an abundant number, since it is smaller than the sum of its proper divisors (1521159227400).

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

516728196600 is a wasteful number, since it uses less digits than its factorization.

516728196600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228308 (or 228285 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 516728196600 in words is "five hundred sixteen billion, seven hundred twenty-eight million, one hundred ninety-six thousand, six hundred".