55206590880 has 768 divisors, whose sum is σ = 215986176000. Its totient is φ = 11822469120.

The previous prime is 55206590869. The next prime is 55206590927. The reversal of 55206590880 is 8809560255.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230989801 + ... + 230990039.

It is an arithmetic number, because the mean of its divisors is an integer number (281232000).

Almost surely, 2^55206590880 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 55206590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088000).

55206590880 is an abundant number, since it is smaller than the sum of its proper divisors (160779585120).

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

55206590880 is a wasteful number, since it uses less digits than its factorization.

55206590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 55206590880 in words is "fifty-five billion, two hundred six million, five hundred ninety thousand, eight hundred eighty".