35981221827168 has 144 divisors (see below), whose sum is σ = 102644882436096. Its totient is φ = 11955880984320.

The previous prime is 35981221827167. The next prime is 35981221827181. The reversal of 35981221827168 is 86172812218953.

35981221827168 is a `hidden beast` number, since 3 + 5 + 9 + 81 + 221 + 8 + 271 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35981221827167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203643183 + ... + 203819793.

It is an arithmetic number, because the mean of its divisors is an integer number (712811683584).

Almost surely, 2^{35981221827168} 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 35981221827168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51322441218048).

35981221827168 is an abundant number, since it is smaller than the sum of its proper divisors (66663660608928).

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

35981221827168 is a wasteful number, since it uses less digits than its factorization.

35981221827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178857 (or 178846 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 35981221827168 in words is "thirty-five trillion, nine hundred eighty-one billion, two hundred twenty-one million, eight hundred twenty-seven thousand, one hundred sixty-eight".