5129409008880 has 640 divisors, whose sum is σ = 19732549536000. Its totient is φ = 1216025395200.

The previous prime is 5129409008873. The next prime is 5129409008957. The reversal of 5129409008880 is 888009049215.

5129409008880 is a `hidden beast` number, since 512 + 9 + 40 + 9 + 0 + 0 + 8 + 8 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 333049180 + ... + 333064580.

It is an arithmetic number, because the mean of its divisors is an integer number (30832108650).

Almost surely, 2^{5129409008880} 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 5129409008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9866274768000).

5129409008880 is an abundant number, since it is smaller than the sum of its proper divisors (14603140527120).

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

5129409008880 is a wasteful number, since it uses less digits than its factorization.

5129409008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874 (or 15862 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 5129409008880 in words is "five trillion, one hundred twenty-nine billion, four hundred nine million, eight thousand, eight hundred eighty".