5511876552 has 256 divisors, whose sum is σ = 19157107200. Its totient is φ = 1429539840.

The previous prime is 5511876547. The next prime is 5511876571. The reversal of 5511876552 is 2556781155.

5511876552 is a `hidden beast` number, since 5 + 5 + 11 + 87 + 6 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5511876498 and 5511876507.

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, 1196718 + ... + 1201314.

It is an arithmetic number, because the mean of its divisors is an integer number (74832450).

Almost surely, 2^5511876552 is an apocalyptic number.

5511876552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5511876552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578553600).

5511876552 is an abundant number, since it is smaller than the sum of its proper divisors (13645230648).

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

5511876552 is a wasteful number, since it uses less digits than its factorization.

5511876552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4683 counting only the distinct ones).

The product of its digits is 420000, while the sum is 45.

The square root of 5511876552 is about 74242.0133886467. The cubic root of 5511876552 is about 1766.4438107562.

The spelling of 5511876552 in words is "five billion, five hundred eleven million, eight hundred seventy-six thousand, five hundred fifty-two".