5561512669440 has 2160 divisors, whose sum is σ = 25194769250112. Its totient is φ = 1160974467072.

The previous prime is 5561512669439. The next prime is 5561512669507. The reversal of 5561512669440 is 449662151655.

It is a happy number.

5561512669440 is a `hidden beast` number, since 5 + 5 + 6 + 15 + 126 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7066724727 + ... + 7066725513.

Almost surely, 2^{5561512669440} 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 5561512669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597384625056).

5561512669440 is an abundant number, since it is smaller than the sum of its proper divisors (19633256580672).

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

5561512669440 is a wasteful number, since it uses less digits than its factorization.

5561512669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 924 counting only the distinct ones).

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

The spelling of 5561512669440 in words is "five trillion, five hundred sixty-one billion, five hundred twelve million, six hundred sixty-nine thousand, four hundred forty".