51003930600 has 1152 divisors, whose sum is σ = 220057344000. Its totient is φ = 10319063040.

The previous prime is 51003930599. The next prime is 51003930629. The reversal of 51003930600 is 603930015.

51003930600 is a `hidden beast` number, since 51 + 0 + 0 + 3 + 9 + 3 + 0 + 600 = 666.

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 287 ways as a sum of consecutive naturals, for example, 324865722 + ... + 324865878.

It is an arithmetic number, because the mean of its divisors is an integer number (191022000).

Almost surely, 2^51003930600 is an apocalyptic number.

51003930600 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 51003930600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110028672000).

51003930600 is an abundant number, since it is smaller than the sum of its proper divisors (169053413400).

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

51003930600 is a wasteful number, since it uses less digits than its factorization.

51003930600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 51003930600 in words is "fifty-one billion, three million, nine hundred thirty thousand, six hundred".