51331609018368 has 960 divisors, whose sum is σ = 182055339379200. Its totient is φ = 14158437285888.

The previous prime is 51331609018247. The next prime is 51331609018421. The reversal of 51331609018368 is 86381090613315.

51331609018368 is a `hidden beast` number, since 5 + 1 + 3 + 316 + 0 + 90 + 183 + 68 = 666.

51331609018368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51331609018368² (a number of 28 digits) contains 22 as substring.

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, 7273853496 + ... + 7273860552.

It is an arithmetic number, because the mean of its divisors is an integer number (189640978520).

Almost surely, 2^{51331609018368} is an apocalyptic number.

51331609018368 is a gapful number since it is divisible by the number (58) 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 51331609018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91027669689600).

51331609018368 is an abundant number, since it is smaller than the sum of its proper divisors (130723730360832).

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

51331609018368 is an frugal number, since it uses more digits than its factorization.

51331609018368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 51331609018368 in words is "fifty-one trillion, three hundred thirty-one billion, six hundred nine million, eighteen thousand, three hundred sixty-eight".