1821233756160 has 2016 divisors, whose sum is σ = 8229234424320. Its totient is φ = 383257018368.

The previous prime is 1821233756143. The next prime is 1821233756263. The reversal of 1821233756160 is 616573321281.

It is a happy number.

1821233756160 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 23 + 3 + 7 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4755179329 + ... + 4755179711.

It is an arithmetic number, because the mean of its divisors is an integer number (4081961520).

Almost surely, 2^{1821233756160} is an apocalyptic number.

1821233756160 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 1821233756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114617212160).

1821233756160 is an abundant number, since it is smaller than the sum of its proper divisors (6408000668160).

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

1821233756160 is an equidigital number, since it uses as much as digits as its factorization.

1821233756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1821233756160 in words is "one trillion, eight hundred twenty-one billion, two hundred thirty-three million, seven hundred fifty-six thousand, one hundred sixty".