55205766 has 192 divisors, whose sum is σ = 165473280. Its totient is φ = 13305600.

The previous prime is 55205677. The next prime is 55205767. The reversal of 55205766 is 66750255.

It is a self number, because there is not a number n which added to its sum of digits gives 55205766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55205767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777511 + ... + 777581.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^55205766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55205766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

55205766 is an abundant number, since it is smaller than the sum of its proper divisors (110267514).

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

55205766 is a wasteful number, since it uses less digits than its factorization.

55205766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 55205766 is about 7430.0582770258. The cubic root of 55205766 is about 380.7689094014.

The spelling of 55205766 in words is "fifty-five million, two hundred five thousand, seven hundred sixty-six".