5677521600000 has 240 divisors, whose sum is σ = 18905396445936. Its totient is φ = 1514004480000.

The previous prime is 5677521599983. The next prime is 5677521600007. The reversal of 5677521600000 is 61257765.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677521600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4208592 + ... + 5391408.

Almost surely, 2^{5677521600000} is an apocalyptic number.

5677521600000 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 5677521600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452698222968).

5677521600000 is an abundant number, since it is smaller than the sum of its proper divisors (13227874845936).

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

5677521600000 is an frugal number, since it uses more digits than its factorization.

5677521600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182863 (or 1182827 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

Adding to 5677521600000 its reverse (61257765), we get a palindrome (5677582857765).

The spelling of 5677521600000 in words is "five trillion, six hundred seventy-seven billion, five hundred twenty-one million, six hundred thousand".