55735056 has 120 divisors (see below), whose sum is σ = 176933120. Its totient is φ = 16236288.

The previous prime is 55735021. The next prime is 55735067. The reversal of 55735056 is 65053755.

55735056 is a `hidden beast` number, since 557 + 3 + 50 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55735056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34785 + ... + 36351.

Almost surely, 2^55735056 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 55735056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88466560).

55735056 is an abundant number, since it is smaller than the sum of its proper divisors (121198064).

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

55735056 is a wasteful number, since it uses less digits than its factorization.

55735056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 55735056 is about 7465.5914702052. The cubic root of 55735056 is about 381.9819258099.

The spelling of 55735056 in words is "fifty-five million, seven hundred thirty-five thousand, fifty-six".