51145141312320 has 224 divisors, whose sum is σ = 178441228665216. Its totient is φ = 12308319436800.

The previous prime is 51145141312289. The next prime is 51145141312333. The reversal of 51145141312320 is 2321314154115.

51145141312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16229521 + ... + 19122960.

Almost surely, 2^{51145141312320} is an apocalyptic number.

It is an amenable number.

51145141312320 is an abundant number, since it is smaller than the sum of its proper divisors (127296087352896).

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

51145141312320 is a wasteful number, since it uses less digits than its factorization.

51145141312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35352649 (or 35352639 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 51145141312320 its reverse (2321314154115), we get a palindrome (53466455466435).

The spelling of 51145141312320 in words is "fifty-one trillion, one hundred forty-five billion, one hundred forty-one million, three hundred twelve thousand, three hundred twenty".