5513114880 has 576 divisors, whose sum is σ = 24092382720. Its totient is φ = 1162543104.

The previous prime is 5513114863. The next prime is 5513114939. The reversal of 5513114880 is 884113155.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 3144084 + ... + 3145836.

Almost surely, 2^5513114880 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 5513114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046191360).

5513114880 is an abundant number, since it is smaller than the sum of its proper divisors (18579267840).

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

5513114880 is a wasteful number, since it uses less digits than its factorization.

5513114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 5513114880 is about 74250.3527264349. The cubic root of 5513114880 is about 1766.5760871245.

The spelling of 5513114880 in words is "five billion, five hundred thirteen million, one hundred fourteen thousand, eight hundred eighty".