55833442560 has 720 divisors, whose sum is σ = 240398928000. Its totient is φ = 12087263232.

The previous prime is 55833442549. The next prime is 55833442591. The reversal of 55833442560 is 6524433855.

55833442560 is a `hidden beast` number, since 5 + 5 + 83 + 3 + 4 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13787416 + ... + 13791464.

It is an arithmetic number, because the mean of its divisors is an integer number (333887400).

Almost surely, 2^55833442560 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 55833442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120199464000).

55833442560 is an abundant number, since it is smaller than the sum of its proper divisors (184565485440).

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

55833442560 is a wasteful number, since it uses less digits than its factorization.

55833442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 55833442560 in words is "fifty-five billion, eight hundred thirty-three million, four hundred forty-two thousand, five hundred sixty".