5606825558544 has 560 divisors, whose sum is σ = 18946488847104. Its totient is φ = 1573520256000.

The previous prime is 5606825558483. The next prime is 5606825558573. The reversal of 5606825558544 is 4458555286065.

5606825558544 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 8 + 2 + 5 + 5 + 585 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1698521694 + ... + 1698524994.

Almost surely, 2^{5606825558544} is an apocalyptic number.

5606825558544 is a gapful number since it is divisible by the number (54) 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 5606825558544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473244423552).

5606825558544 is an abundant number, since it is smaller than the sum of its proper divisors (13339663288560).

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

5606825558544 is a wasteful number, since it uses less digits than its factorization.

5606825558544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 230400000, while the sum is 63.

The spelling of 5606825558544 in words is "five trillion, six hundred six billion, eight hundred twenty-five million, five hundred fifty-eight thousand, five hundred forty-four".