10812883124160 has 672 divisors, whose sum is σ = 43209063817920. Its totient is φ = 2457793069056.

The previous prime is 10812883124093. The next prime is 10812883124171. The reversal of 10812883124160 is 6142138821801.

10812883124160 is a `hidden beast` number, since 10 + 8 + 1 + 288 + 312 + 41 + 6 + 0 = 666.

10812883124160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33573171 + ... + 33893709.

It is an arithmetic number, because the mean of its divisors is an integer number (64299202110).

Almost surely, 2^{10812883124160} is an apocalyptic number.

10812883124160 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 10812883124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21604531908960).

10812883124160 is an abundant number, since it is smaller than the sum of its proper divisors (32396180693760).

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

10812883124160 is a wasteful number, since it uses less digits than its factorization.

10812883124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320645 (or 320632 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10812883124160 in words is "ten trillion, eight hundred twelve billion, eight hundred eighty-three million, one hundred twenty-four thousand, one hundred sixty".