51335575200 has 1728 divisors, whose sum is σ = 240172128000. Its totient is φ = 10567065600.

The previous prime is 51335575169. The next prime is 51335575211. The reversal of 51335575200 is 257553315.

51335575200 is a `hidden beast` number, since 51 + 3 + 3 + 557 + 52 + 0 + 0 = 666.

It is a super-2 number, since 2×51335575200² (a number of 22 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1252087180 + ... + 1252087220.

It is an arithmetic number, because the mean of its divisors is an integer number (138988500).

Almost surely, 2^51335575200 is an apocalyptic number.

51335575200 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 51335575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120086064000).

51335575200 is an abundant number, since it is smaller than the sum of its proper divisors (188836552800).

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

51335575200 is a wasteful number, since it uses less digits than its factorization.

51335575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The spelling of 51335575200 in words is "fifty-one billion, three hundred thirty-five million, five hundred seventy-five thousand, two hundred".