5577311300000 has 576 divisors, whose sum is σ = 16030898956800. Its totient is φ = 1888387200000.

The previous prime is 5577311299993. The next prime is 5577311300003. The reversal of 5577311300000 is 31137755.

It is a super-2 number, since 2×5577311300000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5577311300000.

It is not an unprimeable number, because it can be changed into a prime (5577311300003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233097739 + ... + 1233102261.

It is an arithmetic number, because the mean of its divisors is an integer number (27831421800).

Almost surely, 2^{5577311300000} is an apocalyptic number.

5577311300000 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 5577311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015449478400).

5577311300000 is an abundant number, since it is smaller than the sum of its proper divisors (10453587656800).

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

5577311300000 is a wasteful number, since it uses less digits than its factorization.

5577311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 32.

Adding to 5577311300000 its reverse (31137755), we get a palindrome (5577342437755).

The spelling of 5577311300000 in words is "five trillion, five hundred seventy-seven billion, three hundred eleven million, three hundred thousand".