51575185200 has 720 divisors, whose sum is σ = 211710913920. Its totient is φ = 10700659200.

The previous prime is 51575185171. The next prime is 51575185217. The reversal of 51575185200 is 258157515.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78262471 + ... + 78263129.

It is an arithmetic number, because the mean of its divisors is an integer number (294042936).

Almost surely, 2^51575185200 is an apocalyptic number.

51575185200 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 51575185200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105855456960).

51575185200 is an abundant number, since it is smaller than the sum of its proper divisors (160135728720).

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

51575185200 is a wasteful number, since it uses less digits than its factorization.

51575185200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 39.

The spelling of 51575185200 in words is "fifty-one billion, five hundred seventy-five million, one hundred eighty-five thousand, two hundred".