5681968433856 has 896 divisors, whose sum is σ = 19874746859520. Its totient is φ = 1569209241600.

The previous prime is 5681968433851. The next prime is 5681968433861. The reversal of 5681968433856 is 6583348691865.

5681968433856 is a `hidden beast` number, since 5 + 6 + 81 + 9 + 68 + 433 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5681968433851) and next prime (5681968433861).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5681968433851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10387510575 + ... + 10387511121.

It is an arithmetic number, because the mean of its divisors is an integer number (22181637120).

Almost surely, 2^{5681968433856} 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 5681968433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937373429760).

5681968433856 is an abundant number, since it is smaller than the sum of its proper divisors (14192778425664).

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

5681968433856 is a wasteful number, since it uses less digits than its factorization.

5681968433856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1034 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 5681968433856 in words is "five trillion, six hundred eighty-one billion, nine hundred sixty-eight million, four hundred thirty-three thousand, eight hundred fifty-six".