51166844112384 has 4320 divisors, whose sum is σ = 223075026222048. Its totient is φ = 11058492211200.

The previous prime is 51166844112313. The next prime is 51166844112389. The reversal of 51166844112384 is 48321144866115.

51166844112384 is a `hidden beast` number, since 5 + 1 + 16 + 68 + 441 + 123 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51166844112384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51166844112389) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 527493238224 + ... + 527493238320.

Almost surely, 2^{51166844112384} 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 51166844112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111537513111024).

51166844112384 is an abundant number, since it is smaller than the sum of its proper divisors (171908182109664).

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

51166844112384 is a wasteful number, since it uses less digits than its factorization.

51166844112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 181 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

Adding to 51166844112384 its reverse (48321144866115), we get a palindrome (99487988978499).

The spelling of 51166844112384 in words is "fifty-one trillion, one hundred sixty-six billion, eight hundred forty-four million, one hundred twelve thousand, three hundred eighty-four".