5183980978176 has 1920 divisors, whose sum is σ = 21561419980800. Its totient is φ = 1186537144320.

The previous prime is 5183980978157. The next prime is 5183980978177. The reversal of 5183980978176 is 6718790893815.

5183980978176 is a `hidden beast` number, since 5 + 1 + 8 + 398 + 0 + 97 + 81 + 76 = 666.

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 (5183980978177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10184638210 + ... + 10184638718.

It is an arithmetic number, because the mean of its divisors is an integer number (11229906240).

Almost surely, 2^{5183980978176} is an apocalyptic number.

5183980978176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5183980978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780709990400).

5183980978176 is an abundant number, since it is smaller than the sum of its proper divisors (16377439002624).

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

5183980978176 is a wasteful number, since it uses less digits than its factorization.

5183980978176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 5183980978176 in words is "five trillion, one hundred eighty-three billion, nine hundred eighty million, nine hundred seventy-eight thousand, one hundred seventy-six".