5788130736960 has 1120 divisors, whose sum is σ = 25462356796800. Its totient is φ = 1227060264960.

The previous prime is 5788130736901. The next prime is 5788130737007. The reversal of 5788130736960 is 696370318875.

5788130736960 is a `hidden beast` number, since 5 + 7 + 88 + 130 + 7 + 369 + 60 = 666.

It is a super-2 number, since 2×5788130736960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70383546 + ... + 70465734.

It is an arithmetic number, because the mean of its divisors is an integer number (22734247140).

Almost surely, 2^{5788130736960} 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 5788130736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731178398400).

5788130736960 is an abundant number, since it is smaller than the sum of its proper divisors (19674226059840).

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

5788130736960 is a wasteful number, since it uses less digits than its factorization.

5788130736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82261 (or 82242 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5788130736960 in words is "five trillion, seven hundred eighty-eight billion, one hundred thirty million, seven hundred thirty-six thousand, nine hundred sixty".