51041599801344 has 768 divisors, whose sum is σ = 155357837107200. Its totient is φ = 16761223987200.

The previous prime is 51041599801331. The next prime is 51041599801351. The reversal of 51041599801344 is 44310899514015.

51041599801344 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 1 + 599 + 8 + 0 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110241036057 + ... + 110241036519.

It is an arithmetic number, because the mean of its divisors is an integer number (202288850400).

Almost surely, 2^{51041599801344} is an apocalyptic number.

51041599801344 is a gapful number since it is divisible by the number (54) 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 51041599801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77678918553600).

51041599801344 is an abundant number, since it is smaller than the sum of its proper divisors (104316237305856).

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

51041599801344 is an equidigital number, since it uses as much as digits as its factorization.

51041599801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 51041599801344 in words is "fifty-one trillion, forty-one billion, five hundred ninety-nine million, eight hundred one thousand, three hundred forty-four".