51144048000 has 1280 divisors, whose sum is σ = 209478297600. Its totient is φ = 12317184000.

The previous prime is 51144047947. The next prime is 51144048001. The reversal of 51144048000 is 84044115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51144048001) 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 159 ways as a sum of consecutive naturals, for example, 763343967 + ... + 763344033.

It is an arithmetic number, because the mean of its divisors is an integer number (163654920).

Almost surely, 2^51144048000 is an apocalyptic number.

51144048000 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 51144048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104739148800).

51144048000 is an abundant number, since it is smaller than the sum of its proper divisors (158334249600).

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

51144048000 is a wasteful number, since it uses less digits than its factorization.

51144048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 51144048000 in words is "fifty-one billion, one hundred forty-four million, forty-eight thousand".