5855400672 has 192 divisors, whose sum is σ = 17596776960. Its totient is φ = 1688422400.

The previous prime is 5855400667. The next prime is 5855400689. The reversal of 5855400672 is 2760045585.

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 31 ways as a sum of consecutive naturals, for example, 2172958 + ... + 2175650.

It is an arithmetic number, because the mean of its divisors is an integer number (91649880).

Almost surely, 2^5855400672 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 5855400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798388480).

5855400672 is an abundant number, since it is smaller than the sum of its proper divisors (11741376288).

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

5855400672 is a wasteful number, since it uses less digits than its factorization.

5855400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 5855400672 is about 76520.5898565870. The cubic root of 5855400672 is about 1802.4042637333.

The spelling of 5855400672 in words is "five billion, eight hundred fifty-five million, four hundred thousand, six hundred seventy-two".