55805580 has 144 divisors (see below), whose sum is σ = 178424064. Its totient is φ = 14100480.

The previous prime is 55805557. The next prime is 55805593. The reversal of 55805580 is 8550855.

It is a super-3 number, since 3×55805580³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407272 + ... + 407408.

It is an arithmetic number, because the mean of its divisors is an integer number (1239056).

Almost surely, 2^55805580 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 55805580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212032).

55805580 is an abundant number, since it is smaller than the sum of its proper divisors (122618484).

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

55805580 is a wasteful number, since it uses less digits than its factorization.

55805580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 55805580 is about 7470.3132464442. The cubic root of 55805580 is about 382.1429707065.

The spelling of 55805580 in words is "fifty-five million, eight hundred five thousand, five hundred eighty".