51519283200 has 1344 divisors, whose sum is σ = 237928343040. Its totient is φ = 10705305600.

The previous prime is 51519283177. The next prime is 51519283217. The reversal of 51519283200 is 238291515.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 4683571195 + ... + 4683571205.

Almost surely, 2^51519283200 is an apocalyptic number.

51519283200 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 51519283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118964171520).

51519283200 is an abundant number, since it is smaller than the sum of its proper divisors (186409059840).

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

51519283200 is an equidigital number, since it uses as much as digits as its factorization.

51519283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 51519283200 in words is "fifty-one billion, five hundred nineteen million, two hundred eighty-three thousand, two hundred".