5845940335872 has 2160 divisors, whose sum is σ = 23072788687872. Its totient is φ = 1431839047680.

The previous prime is 5845940335843. The next prime is 5845940335889. The reversal of 5845940335872 is 2785330495485.

5845940335872 is a `hidden beast` number, since 5 + 8 + 4 + 5 + 9 + 40 + 3 + 3 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80081374428 + ... + 80081374500.

Almost surely, 2^{5845940335872} is an apocalyptic number.

5845940335872 is a gapful number since it is divisible by the number (52) 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 5845940335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536394343936).

5845940335872 is an abundant number, since it is smaller than the sum of its proper divisors (17226848352000).

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

5845940335872 is a wasteful number, since it uses less digits than its factorization.

5845940335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 5845940335872 in words is "five trillion, eight hundred forty-five billion, nine hundred forty million, three hundred thirty-five thousand, eight hundred seventy-two".