5176983026880 has 2688 divisors, whose sum is σ = 22903762452480. Its totient is φ = 1047562813440.

The previous prime is 5176983026827. The next prime is 5176983026881. The reversal of 5176983026880 is 886203896715.

5176983026880 is a `hidden beast` number, since 517 + 6 + 9 + 8 + 30 + 2 + 6 + 8 + 80 = 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 (5176983026881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53370958992 + ... + 53370959088.

It is an arithmetic number, because the mean of its divisors is an integer number (8520744960).

Almost surely, 2^{5176983026880} 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 5176983026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451881226240).

5176983026880 is an abundant number, since it is smaller than the sum of its proper divisors (17726779425600).

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

5176983026880 is a wasteful number, since it uses less digits than its factorization.

5176983026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 5176983026880 in words is "five trillion, one hundred seventy-six billion, nine hundred eighty-three million, twenty-six thousand, eight hundred eighty".