51119373689280 has 504 divisors, whose sum is σ = 197446811142672. Its totient is φ = 12583227211776.

The previous prime is 51119373689173. The next prime is 51119373689303. The reversal of 51119373689280 is 8298637391115.

51119373689280 is a `hidden beast` number, since 5 + 1 + 1 + 193 + 7 + 368 + 9 + 2 + 80 = 666.

It is a super-3 number, since 3×51119373689280³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 11196472 + ... + 15086408.

It is an arithmetic number, because the mean of its divisors is an integer number (391759545918).

Almost surely, 2^{51119373689280} 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 51119373689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98723405571336).

51119373689280 is an abundant number, since it is smaller than the sum of its proper divisors (146327437453392).

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

51119373689280 is a wasteful number, since it uses less digits than its factorization.

51119373689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889995 (or 3889960 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 51119373689280 in words is "fifty-one trillion, one hundred nineteen billion, three hundred seventy-three million, six hundred eighty-nine thousand, two hundred eighty".