5545968000 has 256 divisors, whose sum is σ = 18819440640. Its totient is φ = 1443993600.

The previous prime is 5545967941. The next prime is 5545968017. The reversal of 5545968000 is 8695455.

It is a super-2 number, since 2×5545968000² = 61515522114048000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062657 + ... + 2065343.

It is an arithmetic number, because the mean of its divisors is an integer number (73513440).

Almost surely, 2^5545968000 is an apocalyptic number.

5545968000 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 5545968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409720320).

5545968000 is an abundant number, since it is smaller than the sum of its proper divisors (13273472640).

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

5545968000 is a wasteful number, since it uses less digits than its factorization.

5545968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 5545968000 is about 74471.2561999595. The cubic root of 5545968000 is about 1770.0781988497.

The spelling of 5545968000 in words is "five billion, five hundred forty-five million, nine hundred sixty-eight thousand".