51406500600 has 576 divisors, whose sum is σ = 224991224640. Its totient is φ = 10207641600.

The previous prime is 51406500581. The next prime is 51406500611. The reversal of 51406500600 is 600560415.

It is a happy number.

51406500600 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 6 + 50 + 0 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2775370 + ... + 2793830.

It is an arithmetic number, because the mean of its divisors is an integer number (390609765).

Almost surely, 2^51406500600 is an apocalyptic number.

51406500600 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 51406500600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112495612320).

51406500600 is an abundant number, since it is smaller than the sum of its proper divisors (173584724040).

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

51406500600 is a wasteful number, since it uses less digits than its factorization.

51406500600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18520 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 51406500600 in words is "fifty-one billion, four hundred six million, five hundred thousand, six hundred".