5527676044800 has 3840 divisors, whose sum is σ = 27107764992000. Its totient is φ = 1092472012800.

The previous prime is 5527676044789. The next prime is 5527676044837. The reversal of 5527676044800 is 84406767255.

It is a happy number.

5527676044800 is a `hidden beast` number, since 5 + 5 + 27 + 6 + 7 + 604 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26197516695 + ... + 26197516905.

It is an arithmetic number, because the mean of its divisors is an integer number (7059313800).

Almost surely, 2^{5527676044800} is an apocalyptic number.

5527676044800 is a gapful number since it is divisible by the number (50) 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 5527676044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553882496000).

5527676044800 is an abundant number, since it is smaller than the sum of its proper divisors (21580088947200).

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

5527676044800 is a wasteful number, since it uses less digits than its factorization.

5527676044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5527676044800 in words is "five trillion, five hundred twenty-seven billion, six hundred seventy-six million, forty-four thousand, eight hundred".