5541464880 has 480 divisors, whose sum is σ = 22762918080. Its totient is φ = 1234759680.

The previous prime is 5541464867. The next prime is 5541464899. The reversal of 5541464880 is 884641455.

It is a happy number.

5541464880 is a `hidden beast` number, since 554 + 14 + 6 + 4 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4338802 + ... + 4340078.

It is an arithmetic number, because the mean of its divisors is an integer number (47422746).

Almost surely, 2^5541464880 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 5541464880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381459040).

5541464880 is an abundant number, since it is smaller than the sum of its proper divisors (17221453200).

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

5541464880 is a wasteful number, since it uses less digits than its factorization.

5541464880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5541464880 is about 74441.0161134304. The cubic root of 5541464880 is about 1769.5989898782.

The spelling of 5541464880 in words is "five billion, five hundred forty-one million, four hundred sixty-four thousand, eight hundred eighty".