55662100 has 72 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 20092800.

The previous prime is 55662071. The next prime is 55662119. The reversal of 55662100 is 126655.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 60645 + ... + 61555.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^55662100 is an apocalyptic number.

55662100 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 55662100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

55662100 is an abundant number, since it is smaller than the sum of its proper divisors (77329388).

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

55662100 is a wasteful number, since it uses less digits than its factorization.

55662100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 55662100 is about 7460.7037201594. The cubic root of 55662100 is about 381.8151843027.

Adding to 55662100 its reverse (126655), we get a palindrome (55788755).

The spelling of 55662100 in words is "fifty-five million, six hundred sixty-two thousand, one hundred".