51005589360000 has 1280 divisors, whose sum is σ = 194032465735680. Its totient is φ = 11746944000000.

The previous prime is 51005589359999. The next prime is 51005589360013. The reversal of 51005589360000 is 6398550015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9168717219 + ... + 9168722781.

It is an arithmetic number, because the mean of its divisors is an integer number (151587863856).

Almost surely, 2^{51005589360000} is an apocalyptic number.

51005589360000 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 51005589360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97016232867840).

51005589360000 is an abundant number, since it is smaller than the sum of its proper divisors (143026876375680).

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

51005589360000 is a wasteful number, since it uses less digits than its factorization.

51005589360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 51005589360000 in words is "fifty-one trillion, five billion, five hundred eighty-nine million, three hundred sixty thousand".