55678560 has 192 divisors, whose sum is σ = 204083712. Its totient is φ = 12496896.

The previous prime is 55678559. The next prime is 55678589. The reversal of 55678560 is 6587655.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 245167 + ... + 245393.

It is an arithmetic number, because the mean of its divisors is an integer number (1062936).

Almost surely, 2^55678560 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 55678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102041856).

55678560 is an abundant number, since it is smaller than the sum of its proper divisors (148405152).

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

55678560 is a wasteful number, since it uses less digits than its factorization.

55678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 55678560 is about 7461.8067517190. The cubic root of 55678560 is about 381.8528164830.

The spelling of 55678560 in words is "fifty-five million, six hundred seventy-eight thousand, five hundred sixty".