5527773379800 has 1152 divisors, whose sum is σ = 22316321664000. Its totient is φ = 1245585807360.

The previous prime is 5527773379789. The next prime is 5527773379819. The reversal of 5527773379800 is 89733777255.

5527773379800 is a `hidden beast` number, since 5 + 52 + 77 + 73 + 379 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8465196274 + ... + 8465196926.

It is an arithmetic number, because the mean of its divisors is an integer number (19371807000).

Almost surely, 2^{5527773379800} is an apocalyptic number.

5527773379800 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 5527773379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158160832000).

5527773379800 is an abundant number, since it is smaller than the sum of its proper divisors (16788548284200).

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

5527773379800 is a wasteful number, since it uses less digits than its factorization.

5527773379800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 5527773379800 in words is "five trillion, five hundred twenty-seven billion, seven hundred seventy-three million, three hundred seventy-nine thousand, eight hundred".