51193910248128 has 252 divisors, whose sum is σ = 155896724243520. Its totient is φ = 16058853679104.

The previous prime is 51193910248109. The next prime is 51193910248177. The reversal of 51193910248128 is 82184201939115.

51193910248128 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 39 + 102 + 481 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1954773658 + ... + 1954799846.

Almost surely, 2^{51193910248128} 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 51193910248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77948362121760).

51193910248128 is an abundant number, since it is smaller than the sum of its proper divisors (104702813995392).

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

51193910248128 is a wasteful number, since it uses less digits than its factorization.

51193910248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37984 (or 37954 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 51193910248128 in words is "fifty-one trillion, one hundred ninety-three billion, nine hundred ten million, two hundred forty-eight thousand, one hundred twenty-eight".