5577545078900 has 144 divisors (see below), whose sum is σ = 12326116578048. Its totient is φ = 2190305280000.

The previous prime is 5577545078899. The next prime is 5577545078923. The reversal of 5577545078900 is 98705457755.

It is a super-2 number, since 2×5577545078900² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2372412725 + ... + 2372415075.

It is an arithmetic number, because the mean of its divisors is an integer number (85598031792).

Almost surely, 2^{5577545078900} is an apocalyptic number.

5577545078900 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 5577545078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163058289024).

5577545078900 is an abundant number, since it is smaller than the sum of its proper divisors (6748571499148).

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

5577545078900 is a wasteful number, since it uses less digits than its factorization.

5577545078900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 62.

The spelling of 5577545078900 in words is "five trillion, five hundred seventy-seven billion, five hundred forty-five million, seventy-eight thousand, nine hundred".