51294052147200 has 336 divisors, whose sum is σ = 169650181328880. Its totient is φ = 13674526801920.

The previous prime is 51294052147187. The next prime is 51294052147211. The reversal of 51294052147200 is 274125049215.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2640067086 + ... + 2640086514.

It is an arithmetic number, because the mean of its divisors is an integer number (504911253955).

Almost surely, 2^{51294052147200} is an apocalyptic number.

51294052147200 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 51294052147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84825090664440).

51294052147200 is an abundant number, since it is smaller than the sum of its proper divisors (118356129181680).

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

51294052147200 is a wasteful number, since it uses less digits than its factorization.

51294052147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23765 (or 23736 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 51294052147200 in words is "fifty-one trillion, two hundred ninety-four billion, fifty-two million, one hundred forty-seven thousand, two hundred".