5681756181024 has 1152 divisors, whose sum is σ = 21448315607040. Its totient is φ = 1446671923200.

The previous prime is 5681756180917. The next prime is 5681756181061. The reversal of 5681756181024 is 4201816571865.

5681756181024 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 7 + 5 + 618 + 10 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7505622054 + ... + 7505622810.

It is an arithmetic number, because the mean of its divisors is an integer number (18618329520).

Almost surely, 2^{5681756181024} is an apocalyptic number.

5681756181024 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 5681756181024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724157803520).

5681756181024 is an abundant number, since it is smaller than the sum of its proper divisors (15766559426016).

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

5681756181024 is a wasteful number, since it uses less digits than its factorization.

5681756181024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 5681756181024 in words is "five trillion, six hundred eighty-one billion, seven hundred fifty-six million, one hundred eighty-one thousand, twenty-four".