55858560 has 128 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 14555136.

The previous prime is 55858529. The next prime is 55858577. The reversal of 55858560 is 6585855.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89931 + ... + 90549.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 2^55858560 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 55858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

55858560 is an abundant number, since it is smaller than the sum of its proper divisors (126272640).

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

55858560 is a wasteful number, since it uses less digits than its factorization.

55858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The square root of 55858560 is about 7473.8584412604. The cubic root of 55858560 is about 382.2638638204.

The spelling of 55858560 in words is "fifty-five million, eight hundred fifty-eight thousand, five hundred sixty".