51573728000 has 288 divisors, whose sum is σ = 135912591360. Its totient is φ = 19460812800.

The previous prime is 51573727999. The next prime is 51573728009. The reversal of 51573728000 is 82737515.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51573728009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58143557 + ... + 58144443.

It is an arithmetic number, because the mean of its divisors is an integer number (471918720).

Almost surely, 2^51573728000 is an apocalyptic number.

51573728000 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 51573728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67956295680).

51573728000 is an abundant number, since it is smaller than the sum of its proper divisors (84338863360).

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

51573728000 is an equidigital number, since it uses as much as digits as its factorization.

51573728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 51573728000 in words is "fifty-one billion, five hundred seventy-three million, seven hundred twenty-eight thousand".