5541760800 has 432 divisors, whose sum is σ = 20985531840. Its totient is φ = 1425392640.

The previous prime is 5541760789. The next prime is 5541760843. The reversal of 5541760800 is 80671455.

5541760800 is a `hidden beast` number, since 5 + 5 + 41 + 7 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×5541760800² = 61422225528833280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5637109 + ... + 5638091.

It is an arithmetic number, because the mean of its divisors is an integer number (48577620).

Almost surely, 2^5541760800 is an apocalyptic number.

5541760800 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 5541760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492765920).

5541760800 is an abundant number, since it is smaller than the sum of its proper divisors (15443771040).

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

5541760800 is a wasteful number, since it uses less digits than its factorization.

5541760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5541760800 is about 74443.0037008180. The cubic root of 5541760800 is about 1769.6304887943.

The spelling of 5541760800 in words is "five billion, five hundred forty-one million, seven hundred sixty thousand, eight hundred".