5181493429728 has 2880 divisors, whose sum is σ = 21624048230400. Its totient is φ = 1198305239040.

The previous prime is 5181493429691. The next prime is 5181493429753. The reversal of 5181493429728 is 8279243941815.

5181493429728 is a `hidden beast` number, since 5 + 1 + 81 + 493 + 42 + 9 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40799160801 + ... + 40799160927.

It is an arithmetic number, because the mean of its divisors is an integer number (7508350080).

Almost surely, 2^{5181493429728} is an apocalyptic number.

5181493429728 is a gapful number since it is divisible by the number (58) 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 5181493429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812024115200).

5181493429728 is an abundant number, since it is smaller than the sum of its proper divisors (16442554800672).

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

5181493429728 is a wasteful number, since it uses less digits than its factorization.

5181493429728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

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

The spelling of 5181493429728 in words is "five trillion, one hundred eighty-one billion, four hundred ninety-three million, four hundred twenty-nine thousand, seven hundred twenty-eight".