5661090274224 has 640 divisors, whose sum is σ = 20260131840000. Its totient is φ = 1344963916800.

The previous prime is 5661090274223. The next prime is 5661090274241. The reversal of 5661090274224 is 4224720901665.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5661090274223) 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 127 ways as a sum of consecutive naturals, for example, 99759939 + ... + 99816669.

It is an arithmetic number, because the mean of its divisors is an integer number (31656456000).

Almost surely, 2^{5661090274224} 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 5661090274224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130065920000).

5661090274224 is an abundant number, since it is smaller than the sum of its proper divisors (14599041565776).

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

5661090274224 is a wasteful number, since it uses less digits than its factorization.

5661090274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56822 (or 56802 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 5661090274224 in words is "five trillion, six hundred sixty-one billion, ninety million, two hundred seventy-four thousand, two hundred twenty-four".