55358080 has 64 divisors (see below), whose sum is σ = 134419680. Its totient is φ = 21795840.

The previous prime is 55358053. The next prime is 55358087. The reversal of 55358080 is 8085355.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55358087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42235 + ... + 43525.

Almost surely, 2^55358080 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 55358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67209840).

55358080 is an abundant number, since it is smaller than the sum of its proper divisors (79061600).

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

55358080 is a wasteful number, since it uses less digits than its factorization.

55358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 55358080 is about 7440.3010691772. The cubic root of 55358080 is about 381.1187712826.

The spelling of 55358080 in words is "fifty-five million, three hundred fifty-eight thousand, eighty".