5906165760 has 416 divisors, whose sum is σ = 22929557760. Its totient is φ = 1430323200.

The previous prime is 5906165711. The next prime is 5906165767. The reversal of 5906165760 is 675616095.

5906165760 is a `hidden beast` number, since 590 + 6 + 1 + 6 + 57 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5906165767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082075 + ... + 6083045.

Almost surely, 2^5906165760 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 5906165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464778880).

5906165760 is an abundant number, since it is smaller than the sum of its proper divisors (17023392000).

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

5906165760 is a wasteful number, since it uses less digits than its factorization.

5906165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5906165760 is about 76851.5826772618. The cubic root of 5906165760 is about 1807.5981042119.

The spelling of 5906165760 in words is "five billion, nine hundred six million, one hundred sixty-five thousand, seven hundred sixty".