10461031832160 has 864 divisors, whose sum is σ = 44783449034688. Its totient is φ = 2176901775360.

The previous prime is 10461031832143. The next prime is 10461031832171. The reversal of 10461031832160 is 6123813016401.

10461031832160 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 10 + 318 + 321 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 124314900 + ... + 124399020.

It is an arithmetic number, because the mean of its divisors is an integer number (51832695642).

Almost surely, 2^{10461031832160} is an apocalyptic number.

10461031832160 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 10461031832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391724517344).

10461031832160 is an abundant number, since it is smaller than the sum of its proper divisors (34322417202528).

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

10461031832160 is a wasteful number, since it uses less digits than its factorization.

10461031832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84248 (or 84224 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10461031832160 its reverse (6123813016401), we get a palindrome (16584844848561).

The spelling of 10461031832160 in words is "ten trillion, four hundred sixty-one billion, thirty-one million, eight hundred thirty-two thousand, one hundred sixty".