51042043084800 has 720 divisors, whose sum is σ = 176813458214400. Its totient is φ = 12974791065600.

The previous prime is 51042043084787. The next prime is 51042043084817. The reversal of 51042043084800 is 848034024015.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2815171735 + ... + 2815189865.

It is an arithmetic number, because the mean of its divisors is an integer number (245574247520).

Almost surely, 2^{51042043084800} is an apocalyptic number.

51042043084800 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 51042043084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88406729107200).

51042043084800 is an abundant number, since it is smaller than the sum of its proper divisors (125771415129600).

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

51042043084800 is a wasteful number, since it uses less digits than its factorization.

51042043084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 51042043084800 in words is "fifty-one trillion, forty-two billion, forty-three million, eighty-four thousand, eight hundred".