10008854073792 has 168 divisors, whose sum is σ = 32795571830112. Its totient is φ = 2858919782400.

The previous prime is 10008854073791. The next prime is 10008854073839. The reversal of 10008854073792 is 29737045880001.

It is a happy number.

10008854073792 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 8 + 540 + 7 + 3 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008854073791) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15081442 + ... + 15731102.

It is an arithmetic number, because the mean of its divisors is an integer number (195211737084).

Almost surely, 2^{10008854073792} is an apocalyptic number.

10008854073792 is a gapful number since it is divisible by the number (12) 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 10008854073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397785915056).

10008854073792 is an abundant number, since it is smaller than the sum of its proper divisors (22786717756320).

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

10008854073792 is a wasteful number, since it uses less digits than its factorization.

10008854073792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653507 (or 653494 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10008854073792 in words is "ten trillion, eight billion, eight hundred fifty-four million, seventy-three thousand, seven hundred ninety-two".