10439006886096 has 160 divisors (see below), whose sum is σ = 28099492945920. Its totient is φ = 3335854425600.

The previous prime is 10439006886089. The next prime is 10439006886101. The reversal of 10439006886096 is 69068860093401.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 69976066 + ... + 70125086.

It is an arithmetic number, because the mean of its divisors is an integer number (175621830912).

Almost surely, 2^{10439006886096} is an apocalyptic number.

10439006886096 is a gapful number since it is divisible by the number (16) 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 10439006886096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049746472960).

10439006886096 is an abundant number, since it is smaller than the sum of its proper divisors (17660486059824).

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

10439006886096 is a wasteful number, since it uses less digits than its factorization.

10439006886096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149505 (or 149499 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 10439006886096 in words is "ten trillion, four hundred thirty-nine billion, six million, eight hundred eighty-six thousand, ninety-six".