51290810323200 has 5184 divisors, whose sum is σ = 248724280627200. Its totient is φ = 10066349260800.

The previous prime is 51290810323199. The next prime is 51290810323211. The reversal of 51290810323200 is 232301809215.

51290810323200 is a `hidden beast` number, since 5 + 1 + 290 + 8 + 10 + 32 + 320 + 0 = 666.

It is a super-2 number, since 2×51290810323200² (a number of 28 digits) contains 22 as substring.

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

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 575 ways as a sum of consecutive naturals, for example, 722405779165 + ... + 722405779235.

It is an arithmetic number, because the mean of its divisors is an integer number (47979220800).

Almost surely, 2^{51290810323200} is an apocalyptic number.

51290810323200 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 51290810323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124362140313600).

51290810323200 is an abundant number, since it is smaller than the sum of its proper divisors (197433470304000).

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

51290810323200 is a wasteful number, since it uses less digits than its factorization.

51290810323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 167 counting only the distinct ones).

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

The spelling of 51290810323200 in words is "fifty-one trillion, two hundred ninety billion, eight hundred ten million, three hundred twenty-three thousand, two hundred".