51080649804800 has 1056 divisors, whose sum is σ = 165059515514880. Its totient is φ = 15198127718400.

The previous prime is 51080649804787. The next prime is 51080649804851. The reversal of 51080649804800 is 840894608015.

It is a happy number.

It is a super-2 number, since 2×51080649804800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32597733617 + ... + 32597735183.

Almost surely, 2^{51080649804800} is an apocalyptic number.

51080649804800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51080649804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82529757757440).

51080649804800 is an abundant number, since it is smaller than the sum of its proper divisors (113978865710080).

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

51080649804800 is a wasteful number, since it uses less digits than its factorization.

51080649804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 53.

The spelling of 51080649804800 in words is "fifty-one trillion, eighty billion, six hundred forty-nine million, eight hundred four thousand, eight hundred".