1827865009152 has 1056 divisors, whose sum is σ = 6761622626304. Its totient is φ = 462628454400.

The previous prime is 1827865009141. The next prime is 1827865009177. The reversal of 1827865009152 is 2519005687281.

1827865009152 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 86 + 500 + 9 + 1 + 52 = 666.

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, 4341721902 + ... + 4341722322.

Almost surely, 2^{1827865009152} is an apocalyptic number.

1827865009152 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 1827865009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380811313152).

1827865009152 is an abundant number, since it is smaller than the sum of its proper divisors (4933757617152).

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

1827865009152 is a wasteful number, since it uses less digits than its factorization.

1827865009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1827865009152 in words is "one trillion, eight hundred twenty-seven billion, eight hundred sixty-five million, nine thousand, one hundred fifty-two".