51210354416144 has 320 divisors, whose sum is σ = 136339233730560. Its totient is φ = 18018388776960.

The previous prime is 51210354416071. The next prime is 51210354416161. The reversal of 51210354416144 is 44161445301215.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157584194 + ... + 157908830.

It is an arithmetic number, because the mean of its divisors is an integer number (426060105408).

Almost surely, 2^{51210354416144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51210354416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68169616865280).

51210354416144 is an abundant number, since it is smaller than the sum of its proper divisors (85128879314416).

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

51210354416144 is a wasteful number, since it uses less digits than its factorization.

51210354416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324998 (or 324992 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

Adding to 51210354416144 its reverse (44161445301215), we get a palindrome (95371799717359).

The spelling of 51210354416144 in words is "fifty-one trillion, two hundred ten billion, three hundred fifty-four million, four hundred sixteen thousand, one hundred forty-four".