10085792546160 has 960 divisors, whose sum is σ = 39237533637120. Its totient is φ = 2392728698880.

The previous prime is 10085792546149. The next prime is 10085792546171. The reversal of 10085792546160 is 6164529758001.

It is a happy number.

10085792546160 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 7 + 92 + 546 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10085792546149) and next prime (10085792546171).

It is a super-2 number, since 2×10085792546160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10085792546097 and 10085792546106.

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 191 ways as a sum of consecutive naturals, for example, 3271419979 + ... + 3271423061.

It is an arithmetic number, because the mean of its divisors is an integer number (40872430872).

Almost surely, 2^{10085792546160} is an apocalyptic number.

10085792546160 is a gapful number since it is divisible by the number (10) 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 10085792546160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618766818560).

10085792546160 is an abundant number, since it is smaller than the sum of its proper divisors (29151741090960).

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

10085792546160 is a wasteful number, since it uses less digits than its factorization.

10085792546160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10085792546160 in words is "ten trillion, eighty-five billion, seven hundred ninety-two million, five hundred forty-six thousand, one hundred sixty".