55811880 has 96 divisors (see below), whose sum is σ = 182449800. Its totient is φ = 14796288.

The previous prime is 55811857. The next prime is 55811881. The reversal of 55811880 is 8811855.

It can be written as a sum of positive squares in 4 ways, for example, as 54552996 + 1258884 = 7386^2 + 1122^2 .

It is a super-2 number, since 2×55811880² = 6229931898268800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55811881) 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, 82102 + ... + 82778.

Almost surely, 2^55811880 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 55811880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91224900).

55811880 is an abundant number, since it is smaller than the sum of its proper divisors (126637920).

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

55811880 is a wasteful number, since it uses less digits than its factorization.

55811880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 55811880 is about 7470.7349036089. The cubic root of 55811880 is about 382.1573504521.

The spelling of 55811880 in words is "fifty-five million, eight hundred eleven thousand, eight hundred eighty".