5513878440 has 256 divisors, whose sum is σ = 21518784000. Its totient is φ = 1229506560.

The previous prime is 5513878439. The next prime is 5513878441. The reversal of 5513878440 is 448783155.

5513878440 is a `hidden beast` number, since 5 + 5 + 138 + 78 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (5513878439) and next prime (5513878441).

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 (5513878441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301066 + ... + 318854.

It is an arithmetic number, because the mean of its divisors is an integer number (84057750).

Almost surely, 2^5513878440 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 5513878440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759392000).

5513878440 is an abundant number, since it is smaller than the sum of its proper divisors (16004905560).

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

5513878440 is a wasteful number, since it uses less digits than its factorization.

5513878440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17857 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5513878440 is about 74255.4943421697. The cubic root of 5513878440 is about 1766.6576396042.

The spelling of 5513878440 in words is "five billion, five hundred thirteen million, eight hundred seventy-eight thousand, four hundred forty".