5561749828800 has 2016 divisors, whose sum is σ = 24094666771200. Its totient is φ = 1234206720000.

The previous prime is 5561749828751. The next prime is 5561749828807. The reversal of 5561749828800 is 88289471655.

5561749828800 is a `hidden beast` number, since 5 + 5 + 61 + 7 + 498 + 2 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×5561749828800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5561749828807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8676676480 + ... + 8676677120.

Almost surely, 2^{5561749828800} is an apocalyptic number.

5561749828800 is a gapful number since it is divisible by the number (50) 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 5561749828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047333385600).

5561749828800 is an abundant number, since it is smaller than the sum of its proper divisors (18532916942400).

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

5561749828800 is a wasteful number, since it uses less digits than its factorization.

5561749828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 5561749828800 in words is "five trillion, five hundred sixty-one billion, seven hundred forty-nine million, eight hundred twenty-eight thousand, eight hundred".