55665792 has 320 divisors, whose sum is σ = 207345600. Its totient is φ = 14432256.

The previous prime is 55665749. The next prime is 55665829. The reversal of 55665792 is 29756655.

55665792 is a `hidden beast` number, since 556 + 6 + 5 + 7 + 92 = 666.

Its product of digits (567000) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943459 + ... + 943517.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 2^55665792 is an apocalyptic number.

55665792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103672800).

55665792 is an abundant number, since it is smaller than the sum of its proper divisors (151679808).

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

55665792 is a wasteful number, since it uses less digits than its factorization.

55665792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 55665792 is about 7460.9511457990. The cubic root of 55665792 is about 381.8236258964.

The spelling of 55665792 in words is "fifty-five million, six hundred sixty-five thousand, seven hundred ninety-two".