55858600 has 96 divisors (see below), whose sum is σ = 157222080. Its totient is φ = 18017280.

The previous prime is 55858589. The next prime is 55858603. The reversal of 55858600 is 685855.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55858600.

It is not an unprimeable number, because it can be changed into a prime (55858603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22627 + ... + 24973.

It is an arithmetic number, because the mean of its divisors is an integer number (1637730).

Almost surely, 2^55858600 is an apocalyptic number.

55858600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55858600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78611040).

55858600 is an abundant number, since it is smaller than the sum of its proper divisors (101363480).

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

55858600 is a wasteful number, since it uses less digits than its factorization.

55858600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 55858600 is about 7473.8611172539. The cubic root of 55858600 is about 382.2639550661.

The spelling of 55858600 in words is "fifty-five million, eight hundred fifty-eight thousand, six hundred".