50931988144128 has 3360 divisors, whose sum is σ = 206534132259840. Its totient is φ = 12434115133440.

The previous prime is 50931988144117. The next prime is 50931988144153. The reversal of 50931988144128 is 82144188913905.

50931988144128 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 1 + 98 + 81 + 441 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1642967359473 + ... + 1642967359503.

It is an arithmetic number, because the mean of its divisors is an integer number (61468491744).

Almost surely, 2^{50931988144128} 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 50931988144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103267066129920).

50931988144128 is an abundant number, since it is smaller than the sum of its proper divisors (155602144115712).

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

50931988144128 is an equidigital number, since it uses as much as digits as its factorization.

50931988144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 50931988144128 in words is "fifty trillion, nine hundred thirty-one billion, nine hundred eighty-eight million, one hundred forty-four thousand, one hundred twenty-eight".