51725200800 has 864 divisors, whose sum is σ = 214202040192. Its totient is φ = 10557112320.

The previous prime is 51725200757. The next prime is 51725200817. The reversal of 51725200800 is 800252715.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 143 ways as a sum of consecutive naturals, for example, 298989514 + ... + 298989686.

It is an arithmetic number, because the mean of its divisors is an integer number (247919028).

Almost surely, 2^51725200800 is an apocalyptic number.

51725200800 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 51725200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107101020096).

51725200800 is an abundant number, since it is smaller than the sum of its proper divisors (162476839392).

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

51725200800 is a wasteful number, since it uses less digits than its factorization.

51725200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 51725200800 in words is "fifty-one billion, seven hundred twenty-five million, two hundred thousand, eight hundred".