5495817600 has 960 divisors, whose sum is σ = 25068083040. Its totient is φ = 1154580480.

The previous prime is 5495817557. The next prime is 5495817617. The reversal of 5495817600 is 67185945.

5495817600 is a `hidden beast` number, since 5 + 4 + 9 + 581 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5495817600² = 60408022184939520000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23587084 + ... + 23587316.

Almost surely, 2^5495817600 is an apocalyptic number.

5495817600 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 5495817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534041520).

5495817600 is an abundant number, since it is smaller than the sum of its proper divisors (19572265440).

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

5495817600 is a wasteful number, since it uses less digits than its factorization.

5495817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5495817600 is about 74133.7817732240. The cubic root of 5495817600 is about 1764.7266199916.

The spelling of 5495817600 in words is "five billion, four hundred ninety-five million, eight hundred seventeen thousand, six hundred".