10212440610064 has 160 divisors (see below), whose sum is σ = 26166555518976. Its totient is φ = 3738165749760.

The previous prime is 10212440610059. The next prime is 10212440610083. The reversal of 10212440610064 is 46001604421201.

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 31 ways as a sum of consecutive naturals, for example, 11358429 + ... + 12224515.

Almost surely, 2^{10212440610064} is an apocalyptic number.

10212440610064 is a gapful number since it is divisible by the number (14) 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 10212440610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083277759488).

10212440610064 is an abundant number, since it is smaller than the sum of its proper divisors (15954114908912).

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

10212440610064 is a wasteful number, since it uses less digits than its factorization.

10212440610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866693 (or 866687 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 10212440610064 in words is "ten trillion, two hundred twelve billion, four hundred forty million, six hundred ten thousand, sixty-four".