51730099200 has 1320 divisors, whose sum is σ = 219292162320. Its totient is φ = 11943936000.

The previous prime is 51730099177. The next prime is 51730099229. The reversal of 51730099200 is 299003715.

51730099200 is a `hidden beast` number, since 517 + 30 + 0 + 99 + 20 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 512179150 + ... + 512179250.

It is an arithmetic number, because the mean of its divisors is an integer number (166130426).

Almost surely, 2^51730099200 is an apocalyptic number.

51730099200 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 51730099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109646081160).

51730099200 is an abundant number, since it is smaller than the sum of its proper divisors (167562063120).

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

51730099200 is a wasteful number, since it uses less digits than its factorization.

51730099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 51730099200 in words is "fifty-one billion, seven hundred thirty million, ninety-nine thousand, two hundred".