55755864 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 16765056.

The previous prime is 55755863. The next prime is 55755883. The reversal of 55755864 is 46855755.

Its product of digits (840000) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55755863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1296627 + ... + 1296669.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^55755864 is an apocalyptic number.

55755864 is a gapful number since it is divisible by the number (54) 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 55755864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

55755864 is an abundant number, since it is smaller than the sum of its proper divisors (117216936).

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

55755864 is a wasteful number, since it uses less digits than its factorization.

55755864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 55755864 is about 7466.9849336931. The cubic root of 55755864 is about 382.0294559854.

The spelling of 55755864 in words is "fifty-five million, seven hundred fifty-five thousand, eight hundred sixty-four".