5906289312 has 480 divisors, whose sum is σ = 21945458304. Its totient is φ = 1513728000.

The previous prime is 5906289299. The next prime is 5906289401. The reversal of 5906289312 is 2139826095.

5906289312 is a `hidden beast` number, since 5 + 9 + 0 + 628 + 9 + 3 + 12 = 666.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 20157838 + ... + 20158130.

Almost surely, 2^5906289312 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 5906289312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972729152).

5906289312 is an abundant number, since it is smaller than the sum of its proper divisors (16039168992).

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

5906289312 is a wasteful number, since it uses less digits than its factorization.

5906289312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5906289312 is about 76852.3865081625. The cubic root of 5906289312 is about 1807.6107085993.

The spelling of 5906289312 in words is "five billion, nine hundred six million, two hundred eighty-nine thousand, three hundred twelve".