51484130691840 has 1728 divisors, whose sum is σ = 225228285434880. Its totient is φ = 10547256360960.

The previous prime is 51484130691793. The next prime is 51484130691853. The reversal of 51484130691840 is 4819603148415.

51484130691840 is a `hidden beast` number, since 5 + 1 + 48 + 413 + 0 + 6 + 9 + 184 + 0 = 666.

It is a super-2 number, since 2×51484130691840² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 36078577207 + ... + 36078578633.

It is an arithmetic number, because the mean of its divisors is an integer number (130340442960).

Almost surely, 2^{51484130691840} 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 51484130691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112614142717440).

51484130691840 is an abundant number, since it is smaller than the sum of its proper divisors (173744154743040).

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

51484130691840 is a wasteful number, since it uses less digits than its factorization.

51484130691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 51484130691840 in words is "fifty-one trillion, four hundred eighty-four billion, one hundred thirty million, six hundred ninety-one thousand, eight hundred forty".