516225276600 has 288 divisors, whose sum is σ = 1851589824000. Its totient is φ = 118558598400.

The previous prime is 516225276599. The next prime is 516225276601. The reversal of 516225276600 is 6672522615.

It is an interprime number because it is at equal distance from previous prime (516225276599) and next prime (516225276601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516225276601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1192281 + ... + 1566519.

Almost surely, 2^516225276600 is an apocalyptic number.

516225276600 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 516225276600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925794912000).

516225276600 is an abundant number, since it is smaller than the sum of its proper divisors (1335364547400).

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

516225276600 is a wasteful number, since it uses less digits than its factorization.

516225276600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374299 (or 374279 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 516225276600 in words is "five hundred sixteen billion, two hundred twenty-five million, two hundred seventy-six thousand, six hundred".