51341106998016 has 1728 divisors, whose sum is σ = 180738033315840. Its totient is φ = 14379244830720.

The previous prime is 51341106997981. The next prime is 51341106998033. The reversal of 51341106998016 is 61089960114315.

51341106998016 is a `hidden beast` number, since 51 + 3 + 411 + 0 + 6 + 99 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72413408670 + ... + 72413409378.

It is an arithmetic number, because the mean of its divisors is an integer number (104593769280).

Almost surely, 2^{51341106998016} 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 51341106998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90369016657920).

51341106998016 is an abundant number, since it is smaller than the sum of its proper divisors (129396926317824).

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

51341106998016 is a wasteful number, since it uses less digits than its factorization.

51341106998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 51341106998016 in words is "fifty-one trillion, three hundred forty-one billion, one hundred six million, nine hundred ninety-eight thousand, sixteen".