85435844402010 has 256 divisors, whose sum is σ = 218122149888000. Its totient is φ = 21379060684800.

The previous prime is 85435844401997. The next prime is 85435844402093. The reversal of 85435844402010 is 1020444853458.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13005910006 + ... + 13005916574.

It is an arithmetic number, because the mean of its divisors is an integer number (852039648000).

Almost surely, 2^{85435844402010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85435844402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109061074944000).

85435844402010 is an abundant number, since it is smaller than the sum of its proper divisors (132686305485990).

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

85435844402010 is a wasteful number, since it uses less digits than its factorization.

85435844402010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877.

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 85435844402010 in words is "eighty-five trillion, four hundred thirty-five billion, eight hundred forty-four million, four hundred two thousand, ten".