1827641065536 has 504 divisors, whose sum is σ = 6217910731032. Its totient is φ = 509840179200.

The previous prime is 1827641065531. The next prime is 1827641065559. The reversal of 1827641065536 is 6355601467281.

It is a happy number.

1827641065536 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 6 + 41 + 0 + 65 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12003393600 + 1815637671936 = 109560^2 + 1347456^2 .

It is not an unprimeable number, because it can be changed into a prime (1827641065531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359698516 + ... + 359703596.

Almost surely, 2^{1827641065536} is an apocalyptic number.

1827641065536 is a gapful number since it is divisible by the number (16) 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 1827641065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108955365516).

1827641065536 is an abundant number, since it is smaller than the sum of its proper divisors (4390269665496).

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

1827641065536 is a wasteful number, since it uses less digits than its factorization.

1827641065536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1827641065536 in words is "one trillion, eight hundred twenty-seven billion, six hundred forty-one million, sixty-five thousand, five hundred thirty-six".