5510949840 has 540 divisors, whose sum is σ = 21898621836. Its totient is φ = 1236787200.

The previous prime is 5510949827. The next prime is 5510949863. The reversal of 5510949840 is 489490155.

5510949840 is a `hidden beast` number, since 5 + 510 + 9 + 4 + 98 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1395470736 + 4115479104 = 37356^2 + 64152^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90343410 + ... + 90343470.

Almost surely, 2^5510949840 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 5510949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949310918).

5510949840 is an abundant number, since it is smaller than the sum of its proper divisors (16387671996).

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

5510949840 is a wasteful number, since it uses less digits than its factorization.

5510949840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5510949840 is about 74235.7719701223. The cubic root of 5510949840 is about 1766.3448077874.

The spelling of 5510949840 in words is "five billion, five hundred ten million, nine hundred forty-nine thousand, eight hundred forty".