10010086513024 has 128 divisors (see below), whose sum is σ = 21536875745280. Its totient is φ = 4606956103680.

The previous prime is 10010086512967. The next prime is 10010086513027. The reversal of 10010086513024 is 42031568001001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010086513027) 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 15 ways as a sum of consecutive naturals, for example, 906130669 + ... + 906141715.

It is an arithmetic number, because the mean of its divisors is an integer number (168256841760).

Almost surely, 2^{10010086513024} 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 10010086513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768437872640).

10010086513024 is an abundant number, since it is smaller than the sum of its proper divisors (11526789232256).

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

10010086513024 is a wasteful number, since it uses less digits than its factorization.

10010086513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 10010086513024 in words is "ten trillion, ten billion, eighty-six million, five hundred thirteen thousand, twenty-four".