5788812960 has 1152 divisors, whose sum is σ = 26062041600. Its totient is φ = 1192181760.

The previous prime is 5788812959. The next prime is 5788812961. The reversal of 5788812960 is 692188875.

5788812960 is a `hidden beast` number, since 578 + 8 + 8 + 1 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5788812959) and next prime (5788812961).

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

It is a junction number, because it is equal to n+sod(n) for n = 5788812897 and 5788812906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788812961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141190540 + ... + 141190580.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^5788812960 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 5788812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031020800).

5788812960 is an abundant number, since it is smaller than the sum of its proper divisors (20273228640).

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

5788812960 is a wasteful number, since it uses less digits than its factorization.

5788812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 5788812960 is about 76084.2490926999. The cubic root of 5788812960 is about 1795.5458761918.

The spelling of 5788812960 in words is "five billion, seven hundred eighty-eight million, eight hundred twelve thousand, nine hundred sixty".