5864011776 has 288 divisors, whose sum is σ = 19788088320. Its totient is φ = 1638088704.

The previous prime is 5864011709. The next prime is 5864011837. The reversal of 5864011776 is 6771104685.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6063645 + ... + 6064611.

It is an arithmetic number, because the mean of its divisors is an integer number (68708640).

Almost surely, 2^5864011776 is an apocalyptic number.

5864011776 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 5864011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894044160).

5864011776 is an abundant number, since it is smaller than the sum of its proper divisors (13924076544).

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

5864011776 is a wasteful number, since it uses less digits than its factorization.

5864011776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5864011776 is about 76576.8357664379. The cubic root of 5864011776 is about 1803.2873851038.

The spelling of 5864011776 in words is "five billion, eight hundred sixty-four million, eleven thousand, seven hundred seventy-six".