5041389788160 has 704 divisors, whose sum is σ = 19605656378880. Its totient is φ = 1089711636480.

The previous prime is 5041389788117. The next prime is 5041389788221. The reversal of 5041389788160 is 618879831405.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×5041389788160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5041389788094 and 5041389788103.

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 63 ways as a sum of consecutive naturals, for example, 54527892 + ... + 54620268.

It is an arithmetic number, because the mean of its divisors is an integer number (27848943720).

Almost surely, 2^{5041389788160} 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 5041389788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802828189440).

5041389788160 is an abundant number, since it is smaller than the sum of its proper divisors (14564266590720).

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

5041389788160 is a wasteful number, since it uses less digits than its factorization.

5041389788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92452 (or 92434 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 5041389788160 in words is "five trillion, forty-one billion, three hundred eighty-nine million, seven hundred eighty-eight thousand, one hundred sixty".