5785436160 has 720 divisors, whose sum is σ = 24535929600. Its totient is φ = 1231552512.

The previous prime is 5785436093. The next prime is 5785436201. The reversal of 5785436160 is 616345875.

5785436160 is a `hidden beast` number, since 57 + 8 + 5 + 436 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5785436160² = 66942543122871091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98058211 + ... + 98058269.

It is an arithmetic number, because the mean of its divisors is an integer number (34077680).

Almost surely, 2^5785436160 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 5785436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267964800).

5785436160 is an abundant number, since it is smaller than the sum of its proper divisors (18750493440).

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

5785436160 is a wasteful number, since it uses less digits than its factorization.

5785436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5785436160 is about 76062.0546659108. The cubic root of 5785436160 is about 1795.1966751442.

The spelling of 5785436160 in words is "five billion, seven hundred eighty-five million, four hundred thirty-six thousand, one hundred sixty".