51078957670080 has 280 divisors, whose sum is σ = 181708422896880. Its totient is φ = 13620186961920.

The previous prime is 51078957670079. The next prime is 51078957670087. The reversal of 51078957670080 is 8007675987015.

51078957670080 is a `hidden beast` number, since 51 + 0 + 7 + 8 + 9 + 576 + 7 + 0 + 0 + 8 + 0 = 666.

51078957670080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51078957670087) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 476122686 + ... + 476229954.

Almost surely, 2^{51078957670080} 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 51078957670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854211448440).

51078957670080 is an abundant number, since it is smaller than the sum of its proper divisors (130629465226800).

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

51078957670080 is a wasteful number, since it uses less digits than its factorization.

51078957670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125669 (or 125650 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 51078957670080 in words is "fifty-one trillion, seventy-eight billion, nine hundred fifty-seven million, six hundred seventy thousand, eighty".