516103660800 has 1728 divisors, whose sum is σ = 2432204328960. Its totient is φ = 104084766720.

The previous prime is 516103660769. The next prime is 516103660801. The reversal of 516103660800 is 8066301615.

It is a happy number.

516103660800 is a `hidden beast` number, since 5 + 1 + 6 + 10 + 36 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×516103660800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516103660801) 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, 361669687 + ... + 361671113.

Almost surely, 2^516103660800 is an apocalyptic number.

516103660800 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 516103660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216102164480).

516103660800 is an abundant number, since it is smaller than the sum of its proper divisors (1916100668160).

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

516103660800 is a wasteful number, since it uses less digits than its factorization.

516103660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 516103660800 in words is "five hundred sixteen billion, one hundred three million, six hundred sixty thousand, eight hundred".