10812775820472 has 160 divisors (see below), whose sum is σ = 30632927925600. Its totient is φ = 3563067211776.

The previous prime is 10812775820467. The next prime is 10812775820477. The reversal of 10812775820472 is 27402857721801.

10812775820472 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 27 + 75 + 82 + 0 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (10812775820467) and next prime (10812775820477).

It is a super-2 number, since 2×10812775820472² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10812775820477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38370904 + ... + 38651672.

It is an arithmetic number, because the mean of its divisors is an integer number (191455799535).

Almost surely, 2^{10812775820472} is an apocalyptic number.

10812775820472 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 10812775820472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316463962800).

10812775820472 is an abundant number, since it is smaller than the sum of its proper divisors (19820152105128).

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

10812775820472 is a wasteful number, since it uses less digits than its factorization.

10812775820472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281467 (or 281454 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 10812775820472 in words is "ten trillion, eight hundred twelve billion, seven hundred seventy-five million, eight hundred twenty thousand, four hundred seventy-two".