5511476880 has 720 divisors, whose sum is σ = 23687327664. Its totient is φ = 1137991680.

The previous prime is 5511476843. The next prime is 5511476903. The reversal of 5511476880 is 886741155.

5511476880 is a `hidden beast` number, since 551 + 14 + 7 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 329204736 + 5182272144 = 18144^2 + 71988^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 27976942 + ... + 27977138.

Almost surely, 2^5511476880 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 5511476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843663832).

5511476880 is an abundant number, since it is smaller than the sum of its proper divisors (18175850784).

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

5511476880 is a wasteful number, since it uses less digits than its factorization.

5511476880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 5511476880 is about 74239.3216563837. The cubic root of 5511476880 is about 1766.4011141543.

The spelling of 5511476880 in words is "five billion, five hundred eleven million, four hundred seventy-six thousand, eight hundred eighty".