55658160 has 120 divisors (see below), whose sum is σ = 195103584. Its totient is φ = 14192640.

The previous prime is 55658149. The next prime is 55658167. The reversal of 55658160 is 6185655.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (55658167) 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 23 ways as a sum of consecutive naturals, for example, 14880 + ... + 18240.

Almost surely, 2^55658160 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 55658160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97551792).

55658160 is an abundant number, since it is smaller than the sum of its proper divisors (139445424).

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

55658160 is a wasteful number, since it uses less digits than its factorization.

55658160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55658160 is about 7460.4396653280. The cubic root of 55658160 is about 381.8061752563.

The spelling of 55658160 in words is "fifty-five million, six hundred fifty-eight thousand, one hundred sixty".