55918080 has 160 divisors (see below), whose sum is σ = 198871200. Its totient is φ = 14893056.

The previous prime is 55918067. The next prime is 55918081. The reversal of 55918080 is 8081955.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55918081) 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 15 ways as a sum of consecutive naturals, for example, 68716 + ... + 69524.

It is an arithmetic number, because the mean of its divisors is an integer number (1242945).

Almost surely, 2^55918080 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 55918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99435600).

55918080 is an abundant number, since it is smaller than the sum of its proper divisors (142953120).

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

55918080 is an equidigital number, since it uses as much as digits as its factorization.

55918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 55918080 is about 7477.8392601072. The cubic root of 55918080 is about 382.3995891758.

The spelling of 55918080 in words is "fifty-five million, nine hundred eighteen thousand, eighty".