5146689300480 has 3456 divisors, whose sum is σ = 24665116170240. Its totient is φ = 1016667832320.

The previous prime is 5146689300433. The next prime is 5146689300509. The reversal of 5146689300480 is 840039866415.

5146689300480 is a `hidden beast` number, since 5 + 14 + 6 + 68 + 93 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 26946017185 + ... + 26946017375.

It is an arithmetic number, because the mean of its divisors is an integer number (7136897040).

Almost surely, 2^{5146689300480} 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 5146689300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332558085120).

5146689300480 is an abundant number, since it is smaller than the sum of its proper divisors (19518426869760).

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

5146689300480 is a wasteful number, since it uses less digits than its factorization.

5146689300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5146689300480 in words is "five trillion, one hundred forty-six billion, six hundred eighty-nine million, three hundred thousand, four hundred eighty".