55589760 has 128 divisors (see below), whose sum is σ = 196941600. Its totient is φ = 14819328.

The previous prime is 55589759. The next prime is 55589761. The reversal of 55589760 is 6798555.

55589760 is a `hidden beast` number, since 5 + 5 + 589 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (55589759) and next prime (55589761).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55589761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15672 + ... + 18888.

Almost surely, 2^55589760 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 55589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98470800).

55589760 is an abundant number, since it is smaller than the sum of its proper divisors (141351840).

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

55589760 is a wasteful number, since it uses less digits than its factorization.

55589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55589760 is about 7455.8540758253. The cubic root of 55589760 is about 381.6497067483.

The spelling of 55589760 in words is "fifty-five million, five hundred eighty-nine thousand, seven hundred sixty".