56511216 has 80 divisors (see below), whose sum is σ = 163159200. Its totient is φ = 18726912.

The previous prime is 56511209. The next prime is 56511239. The reversal of 56511216 is 61211565.

It is a happy number.

56511216 is a `hidden beast` number, since 5 + 651 + 1 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 56511216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110770 + ... + 111278.

It is an arithmetic number, because the mean of its divisors is an integer number (2039490).

Almost surely, 2^56511216 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 56511216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81579600).

56511216 is an abundant number, since it is smaller than the sum of its proper divisors (106647984).

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

56511216 is a wasteful number, since it uses less digits than its factorization.

56511216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 771 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 56511216 is about 7517.3942293856. The cubic root of 56511216 is about 383.7469035319.

It can be divided in two parts, 565 and 11216, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 56511216 in words is "fifty-six million, five hundred eleven thousand, two hundred sixteen".