51968805394176 has 1296 divisors, whose sum is σ = 179601742320000. Its totient is φ = 14391507271680.

The previous prime is 51968805394141. The next prime is 51968805394199. The reversal of 51968805394176 is 67149350886915.

51968805394176 is a `hidden beast` number, since 5 + 1 + 9 + 6 + 8 + 80 + 539 + 4 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18904620450 + ... + 18904623198.

Almost surely, 2^{51968805394176} 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 51968805394176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89800871160000).

51968805394176 is an abundant number, since it is smaller than the sum of its proper divisors (127632936925824).

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

51968805394176 is a wasteful number, since it uses less digits than its factorization.

51968805394176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 51968805394176 in words is "fifty-one trillion, nine hundred sixty-eight billion, eight hundred five million, three hundred ninety-four thousand, one hundred seventy-six".