5845196160 has 384 divisors, whose sum is σ = 21111723360. Its totient is φ = 1488814080.

The previous prime is 5845196143. The next prime is 5845196179. The reversal of 5845196160 is 616915485.

5845196160 is a `hidden beast` number, since 58 + 451 + 96 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12516247 + ... + 12516713.

Almost surely, 2^5845196160 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 5845196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10555861680).

5845196160 is an abundant number, since it is smaller than the sum of its proper divisors (15266527200).

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

5845196160 is a wasteful number, since it uses less digits than its factorization.

5845196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5845196160 is about 76453.8825698211. The cubic root of 5845196160 is about 1801.3566069381.

The spelling of 5845196160 in words is "five billion, eight hundred forty-five million, one hundred ninety-six thousand, one hundred sixty".