56018160 has 180 divisors, whose sum is σ = 207106536. Its totient is φ = 13559040.

The previous prime is 56018153. The next prime is 56018167. The reversal of 56018160 is 6181065.

56018160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56018153) and next prime (56018167).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56018167) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 86799 + ... + 87441.

Almost surely, 2^56018160 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 56018160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103553268).

56018160 is an abundant number, since it is smaller than the sum of its proper divisors (151088376).

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

56018160 is a wasteful number, since it uses less digits than its factorization.

56018160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 56018160 is about 7484.5280412328. The cubic root of 56018160 is about 382.6275878353.

The spelling of 56018160 in words is "fifty-six million, eighteen thousand, one hundred sixty".