51333792000 has 576 divisors, whose sum is σ = 181094344704. Its totient is φ = 12861235200.

The previous prime is 51333791983. The next prime is 51333792007. The reversal of 51333792000 is 29733315.

It is not an unprimeable number, because it can be changed into a prime (51333792007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 147935827 + ... + 147936173.

It is an arithmetic number, because the mean of its divisors is an integer number (314399904).

Almost surely, 2^51333792000 is an apocalyptic number.

51333792000 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 51333792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90547172352).

51333792000 is an abundant number, since it is smaller than the sum of its proper divisors (129760552704).

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

51333792000 is a wasteful number, since it uses less digits than its factorization.

51333792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The spelling of 51333792000 in words is "fifty-one billion, three hundred thirty-three million, seven hundred ninety-two thousand".