51121390487328 has 192 divisors, whose sum is σ = 170420220069120. Its totient is φ = 14604775704576.

The previous prime is 51121390487309. The next prime is 51121390487353. The reversal of 51121390487328 is 82378409312115.

51121390487328 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 139 + 0 + 487 + 3 + 28 = 666.

It is a super-2 number, since 2×51121390487328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 66709476 + ... + 67471452.

It is an arithmetic number, because the mean of its divisors is an integer number (887605312860).

Almost surely, 2^{51121390487328} 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 51121390487328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85210110034560).

51121390487328 is an abundant number, since it is smaller than the sum of its proper divisors (119298829581792).

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

51121390487328 is a wasteful number, since it uses less digits than its factorization.

51121390487328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773096 (or 773082 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 51121390487328 in words is "fifty-one trillion, one hundred twenty-one billion, three hundred ninety million, four hundred eighty-seven thousand, three hundred twenty-eight".