5788129536 has 576 divisors, whose sum is σ = 21474754560. Its totient is φ = 1499627520.

The previous prime is 5788129489. The next prime is 5788129597. The reversal of 5788129536 is 6359218875.

5788129536 is a `hidden beast` number, since 5 + 7 + 8 + 81 + 29 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 25498255 + ... + 25498481.

It is an arithmetic number, because the mean of its divisors is an integer number (37282560).

Almost surely, 2^5788129536 is an apocalyptic number.

5788129536 is a gapful number since it is divisible by the number (56) 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 5788129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737377280).

5788129536 is an abundant number, since it is smaller than the sum of its proper divisors (15686625024).

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

5788129536 is a wasteful number, since it uses less digits than its factorization.

5788129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5788129536 is about 76079.7577283209. The cubic root of 5788129536 is about 1795.4752130324.

The spelling of 5788129536 in words is "five billion, seven hundred eighty-eight million, one hundred twenty-nine thousand, five hundred thirty-six".