516738578400 has 432 divisors, whose sum is σ = 2051931667968. Its totient is φ = 121228416000.

The previous prime is 516738578359. The next prime is 516738578497. The reversal of 516738578400 is 4875837615.

It is a happy number.

516738578400 is a `hidden beast` number, since 5 + 1 + 67 + 3 + 8 + 578 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2349967 + ... + 2560433.

It is an arithmetic number, because the mean of its divisors is an integer number (4749841824).

Almost surely, 2^516738578400 is an apocalyptic number.

516738578400 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 516738578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025965833984).

516738578400 is an abundant number, since it is smaller than the sum of its proper divisors (1535193089568).

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

516738578400 is a wasteful number, since it uses less digits than its factorization.

516738578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210535 (or 210519 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 516738578400 in words is "five hundred sixteen billion, seven hundred thirty-eight million, five hundred seventy-eight thousand, four hundred".