5513546880 has 160 divisors (see below), whose sum is σ = 19690056540. Its totient is φ = 1470265344.

The previous prime is 5513546861. The next prime is 5513546887. The reversal of 5513546880 is 886453155.

5513546880 is a `hidden beast` number, since 5 + 513 + 54 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5050092096 + 463454784 = 71064^2 + 21528^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (5513546887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1339 + ... + 105018.

Almost surely, 2^5513546880 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 5513546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845028270).

5513546880 is an abundant number, since it is smaller than the sum of its proper divisors (14176509660).

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

5513546880 is a wasteful number, since it uses less digits than its factorization.

5513546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106388 (or 106367 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5513546880 is about 74253.2617465388. The cubic root of 5513546880 is about 1766.6222280662.

The spelling of 5513546880 in words is "five billion, five hundred thirteen million, five hundred forty-six thousand, eight hundred eighty".