5561522290944 has 567 divisors, whose sum is σ = 17130637101837. Its totient is φ = 1801203775488.

The previous prime is 5561522290913. The next prime is 5561522290949. The reversal of 5561522290944 is 4490922251655.

The square root of 5561522290944 is 2358288.

It is a perfect power (a square), and thus also a powerful number.

5561522290944 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 522 + 29 + 0 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4009285382400 + 1552236908544 = 2002320^2 + 1245888^2 .

It is a super-2 number, since 2×5561522290944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5561522290949) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 53995361997 + ... + 53995362099.

Almost surely, 2^{5561522290944} is an apocalyptic number.

5561522290944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5561522290944 is the 2358288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5561522290944

5561522290944 is an abundant number, since it is smaller than the sum of its proper divisors (11569114810893).

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

5561522290944 is an frugal number, since it uses more digits than its factorization.

5561522290944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5561522290944 in words is "five trillion, five hundred sixty-one billion, five hundred twenty-two million, two hundred ninety thousand, nine hundred forty-four".