35857418368 has 96 divisors (see below), whose sum is σ = 76280904000. Its totient is φ = 16785838080.

The previous prime is 35857418353. The next prime is 35857418411. The reversal of 35857418368 is 86381475853.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7358973 + ... + 7363843.

It is an arithmetic number, because the mean of its divisors is an integer number (794592750).

Almost surely, 2^35857418368 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 35857418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38140452000).

35857418368 is an abundant number, since it is smaller than the sum of its proper divisors (40423485632).

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

35857418368 is a wasteful number, since it uses less digits than its factorization.

35857418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5089 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 58.

The spelling of 35857418368 in words is "thirty-five billion, eight hundred fifty-seven million, four hundred eighteen thousand, three hundred sixty-eight".