55059840 has 288 divisors, whose sum is σ = 211629600. Its totient is φ = 13178880.

The previous prime is 55059827. The next prime is 55059841. The reversal of 55059840 is 4895055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 55059795 and 55059804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55059841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696921 + ... + 696999.

It is an arithmetic number, because the mean of its divisors is an integer number (734825).

Almost surely, 2^55059840 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 55059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

55059840 is an abundant number, since it is smaller than the sum of its proper divisors (156569760).

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

55059840 is a wasteful number, since it uses less digits than its factorization.

55059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55059840 is about 7420.2318023091. The cubic root of 55059840 is about 380.4331164965.

The spelling of 55059840 in words is "fifty-five million, fifty-nine thousand, eight hundred forty".