51643998108288 has 576 divisors, whose sum is σ = 165633003095040. Its totient is φ = 15422164992000.

The previous prime is 51643998108247. The next prime is 51643998108289. The reversal of 51643998108288 is 88280189934615.

51643998108288 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 399 + 81 + 0 + 82 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (51643998108289) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 629525833 + ... + 629607863.

It is an arithmetic number, because the mean of its divisors is an integer number (287557297040).

Almost surely, 2^{51643998108288} 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 51643998108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82816501547520).

51643998108288 is an abundant number, since it is smaller than the sum of its proper divisors (113989004986752).

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

51643998108288 is a wasteful number, since it uses less digits than its factorization.

51643998108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82177 (or 82145 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 51643998108288 in words is "fifty-one trillion, six hundred forty-three billion, nine hundred ninety-eight million, one hundred eight thousand, two hundred eighty-eight".