51383814069168 has 480 divisors, whose sum is σ = 178158623784960. Its totient is φ = 14027646147840.

The previous prime is 51383814069157. The next prime is 51383814069229. The reversal of 51383814069168 is 86196041838315.

51383814069168 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 3 + 81 + 406 + 91 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66266521 + ... + 67037447.

It is an arithmetic number, because the mean of its divisors is an integer number (371163799552).

Almost surely, 2^{51383814069168} 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 51383814069168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89079311892480).

51383814069168 is an abundant number, since it is smaller than the sum of its proper divisors (126774809715792).

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

51383814069168 is a wasteful number, since it uses less digits than its factorization.

51383814069168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771067 (or 771049 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 51383814069168 in words is "fifty-one trillion, three hundred eighty-three billion, eight hundred fourteen million, sixty-nine thousand, one hundred sixty-eight".