5661909601600 has 168 divisors, whose sum is σ = 15931267664960. Its totient is φ = 1940108267520.

The previous prime is 5661909601561. The next prime is 5661909601637. The reversal of 5661909601600 is 61069091665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19421716 + ... + 19711084.

Almost surely, 2^{5661909601600} is an apocalyptic number.

5661909601600 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 5661909601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965633832480).

5661909601600 is an abundant number, since it is smaller than the sum of its proper divisors (10269358063360).

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

5661909601600 is a wasteful number, since it uses less digits than its factorization.

5661909601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291145 (or 291130 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The spelling of 5661909601600 in words is "five trillion, six hundred sixty-one billion, nine hundred nine million, six hundred one thousand, six hundred".