5661130997760 has 1920 divisors, whose sum is σ = 23256538152960. Its totient is φ = 1146617856000.

The previous prime is 5661130997719. The next prime is 5661130997831. The reversal of 5661130997760 is 677990311665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5661130997694 and 5661130997703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37490933685 + ... + 37490933835.

It is an arithmetic number, because the mean of its divisors is an integer number (12112780288).

Almost surely, 2^{5661130997760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5661130997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628269076480).

5661130997760 is an abundant number, since it is smaller than the sum of its proper divisors (17595407155200).

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

5661130997760 is a wasteful number, since it uses less digits than its factorization.

5661130997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 5661130997760 in words is "five trillion, six hundred sixty-one billion, one hundred thirty million, nine hundred ninety-seven thousand, seven hundred sixty".