5509195776 has 384 divisors, whose sum is σ = 19142323200. Its totient is φ = 1532805120.

The previous prime is 5509195753. The next prime is 5509195837. The reversal of 5509195776 is 6775919055.

5509195776 is a `hidden beast` number, since 5 + 50 + 9 + 19 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16643931 + ... + 16644261.

It is an arithmetic number, because the mean of its divisors is an integer number (49849800).

Almost surely, 2^5509195776 is an apocalyptic number.

5509195776 is a gapful number since it is divisible by the number (56) 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 5509195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571161600).

5509195776 is an abundant number, since it is smaller than the sum of its proper divisors (13633127424).

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

5509195776 is a wasteful number, since it uses less digits than its factorization.

5509195776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The square root of 5509195776 is about 74223.9568872477. The cubic root of 5509195776 is about 1766.1573863385.

The spelling of 5509195776 in words is "five billion, five hundred nine million, one hundred ninety-five thousand, seven hundred seventy-six".