1823215532160 has 384 divisors, whose sum is σ = 6763616899200. Its totient is φ = 415991234560.

The previous prime is 1823215532141. The next prime is 1823215532221. The reversal of 1823215532160 is 612355123281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1823215532160² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3718621 + ... + 4180259.

It is an arithmetic number, because the mean of its divisors is an integer number (17613585675).

Almost surely, 2^{1823215532160} is an apocalyptic number.

1823215532160 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 1823215532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381808449600).

1823215532160 is an abundant number, since it is smaller than the sum of its proper divisors (4940401367040).

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

1823215532160 is a wasteful number, since it uses less digits than its factorization.

1823215532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461700 (or 461677 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 1823215532160 in words is "one trillion, eight hundred twenty-three billion, two hundred fifteen million, five hundred thirty-two thousand, one hundred sixty".