51328530489600 has 3240 divisors, whose sum is σ = 244236462089928. Its totient is φ = 10534551552000.

The previous prime is 51328530489569. The next prime is 51328530489619. The reversal of 51328530489600 is 698403582315.

51328530489600 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 8 + 530 + 48 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25117898674176 + 26210631815424 = 5011776^2 + 5119632^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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 359 ways as a sum of consecutive naturals, for example, 12218167500 + ... + 12218171700.

Almost surely, 2^{51328530489600} is an apocalyptic number.

51328530489600 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 51328530489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122118231044964).

51328530489600 is an abundant number, since it is smaller than the sum of its proper divisors (192907931600328).

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

51328530489600 is a wasteful number, since it uses less digits than its factorization.

51328530489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 51328530489600 in words is "fifty-one trillion, three hundred twenty-eight billion, five hundred thirty million, four hundred eighty-nine thousand, six hundred".