1827122536512 has 896 divisors, whose sum is σ = 6875226158080. Its totient is φ = 468733796352.

The previous prime is 1827122536511. The next prime is 1827122536523. The reversal of 1827122536512 is 2156352217281.

1827122536512 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 122 + 5 + 3 + 6 + 512 = 666.

It is a super-2 number, since 2×1827122536512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1827122536511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471270318 + ... + 471274194.

It is an arithmetic number, because the mean of its divisors is an integer number (7673243480).

Almost surely, 2^{1827122536512} is an apocalyptic number.

1827122536512 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 1827122536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437613079040).

1827122536512 is an abundant number, since it is smaller than the sum of its proper divisors (5048103621568).

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

1827122536512 is an equidigital number, since it uses as much as digits as its factorization.

1827122536512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3939 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 1827122536512 in words is "one trillion, eight hundred twenty-seven billion, one hundred twenty-two million, five hundred thirty-six thousand, five hundred twelve".