51349503744 has 864 divisors, whose sum is σ = 195733440000. Its totient is φ = 13263022080.

The previous prime is 51349503703. The next prime is 51349503763. The reversal of 51349503744 is 44730594315.

51349503744 is a `hidden beast` number, since 5 + 134 + 9 + 503 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 51349503744.

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 95 ways as a sum of consecutive naturals, for example, 286868647 + ... + 286868825.

Almost surely, 2^51349503744 is an apocalyptic number.

51349503744 is a gapful number since it is divisible by the number (54) 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 51349503744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720000).

51349503744 is an abundant number, since it is smaller than the sum of its proper divisors (144383936256).

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

51349503744 is a wasteful number, since it uses less digits than its factorization.

51349503744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 51349503744 in words is "fifty-one billion, three hundred forty-nine million, five hundred three thousand, seven hundred forty-four".