51818271418368 has 3456 divisors, whose sum is σ = 208805216256000. Its totient is φ = 12220079800320.

The previous prime is 51818271418363. The next prime is 51818271418421. The reversal of 51818271418368 is 86381417281815.

51818271418368 is a `hidden beast` number, since 5 + 1 + 8 + 182 + 7 + 1 + 418 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51818271418363) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 408017885121 + ... + 408017885247.

It is an arithmetic number, because the mean of its divisors is an integer number (60418176000).

Almost surely, 2^{51818271418368} 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 51818271418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104402608128000).

51818271418368 is an abundant number, since it is smaller than the sum of its proper divisors (156986944837632).

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

51818271418368 is a wasteful number, since it uses less digits than its factorization.

51818271418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 51818271418368 in words is "fifty-one trillion, eight hundred eighteen billion, two hundred seventy-one million, four hundred eighteen thousand, three hundred sixty-eight".