51325705728000 has 2080 divisors, whose sum is σ = 210056414211072. Its totient is φ = 12415721472000.

The previous prime is 51325705727981. The next prime is 51325705728023. The reversal of 51325705728000 is 82750752315.

51325705728000 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 5 + 70 + 572 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 110854655769 + ... + 110854656231.

Almost surely, 2^{51325705728000} is an apocalyptic number.

51325705728000 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 51325705728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105028207105536).

51325705728000 is an abundant number, since it is smaller than the sum of its proper divisors (158730708483072).

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

51325705728000 is an frugal number, since it uses more digits than its factorization.

51325705728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 51325705728000 in words is "fifty-one trillion, three hundred twenty-five billion, seven hundred five million, seven hundred twenty-eight thousand".