51325018588800 has 960 divisors, whose sum is σ = 213743974197600. Its totient is φ = 12013360128000.

The previous prime is 51325018588793. The next prime is 51325018588813. The reversal of 51325018588800 is 888581052315.

51325018588800 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 50 + 1 + 8 + 588 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82374435 + ... + 82995165.

Almost surely, 2^{51325018588800} is an apocalyptic number.

51325018588800 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 51325018588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106871987098800).

51325018588800 is an abundant number, since it is smaller than the sum of its proper divisors (162418955608800).

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

51325018588800 is a wasteful number, since it uses less digits than its factorization.

51325018588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620807 (or 620781 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 51325018588800 in words is "fifty-one trillion, three hundred twenty-five billion, eighteen million, five hundred eighty-eight thousand, eight hundred".