55580817600 has 2016 divisors, whose sum is σ = 268093952000. Its totient is φ = 11176704000.

The previous prime is 55580817581. The next prime is 55580817653. The reversal of 55580817600 is 671808555.

55580817600 is a `hidden beast` number, since 5 + 5 + 580 + 8 + 1 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 1792929585 + ... + 1792929615.

Almost surely, 2^55580817600 is an apocalyptic number.

55580817600 is a gapful number since it is divisible by the number (50) 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 55580817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134046976000).

55580817600 is an abundant number, since it is smaller than the sum of its proper divisors (212513134400).

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

55580817600 is a wasteful number, since it uses less digits than its factorization.

55580817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 55580817600 in words is "fifty-five billion, five hundred eighty million, eight hundred seventeen thousand, six hundred".