55589683104 has 432 divisors, whose sum is σ = 174338420256. Its totient is φ = 17413885440.

The previous prime is 55589683099. The next prime is 55589683111. The reversal of 55589683104 is 40138698555.

55589683104 is a `hidden beast` number, since 5 + 558 + 9 + 6 + 83 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 321327562 + ... + 321327734.

It is an arithmetic number, because the mean of its divisors is an integer number (403561158).

Almost surely, 2^55589683104 is an apocalyptic number.

55589683104 is a gapful number since it is divisible by the number (54) 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 55589683104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87169210128).

55589683104 is an abundant number, since it is smaller than the sum of its proper divisors (118748737152).

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

55589683104 is a wasteful number, since it uses less digits than its factorization.

55589683104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 55589683104 in words is "fifty-five billion, five hundred eighty-nine million, six hundred eighty-three thousand, one hundred four".