5611321657700 has 288 divisors, whose sum is σ = 13781717913600. Its totient is φ = 1965154867200.

The previous prime is 5611321657633. The next prime is 5611321657703. The reversal of 5611321657700 is 77561231165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5611321657703) 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, 2879076326 + ... + 2879078274.

It is an arithmetic number, because the mean of its divisors is an integer number (47853187200).

Almost surely, 2^{5611321657700} is an apocalyptic number.

5611321657700 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 5611321657700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890858956800).

5611321657700 is an abundant number, since it is smaller than the sum of its proper divisors (8170396255900).

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

5611321657700 is a wasteful number, since it uses less digits than its factorization.

5611321657700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

Adding to 5611321657700 its reverse (77561231165), we get a palindrome (5688882888865).

The spelling of 5611321657700 in words is "five trillion, six hundred eleven billion, three hundred twenty-one million, six hundred fifty-seven thousand, seven hundred".