51748501200 has 240 divisors, whose sum is σ = 181093915200. Its totient is φ = 12527308800.

The previous prime is 51748501183. The next prime is 51748501223. The reversal of 51748501200 is 210584715.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10940436 + ... + 10945164.

It is an arithmetic number, because the mean of its divisors is an integer number (754557980).

Almost surely, 2^51748501200 is an apocalyptic number.

51748501200 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 51748501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90546957600).

51748501200 is an abundant number, since it is smaller than the sum of its proper divisors (129345414000).

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

51748501200 is a wasteful number, since it uses less digits than its factorization.

51748501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 51748501200 in words is "fifty-one billion, seven hundred forty-eight million, five hundred one thousand, two hundred".