1821149068800 has 240 divisors, whose sum is σ = 6020225430912. Its totient is φ = 485302886400.

The previous prime is 1821149068747. The next prime is 1821149068801. The reversal of 1821149068800 is 88609411281.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1821149068800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1821149068800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821149068801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58006707 + ... + 58038093.

Almost surely, 2^{1821149068800} is an apocalyptic number.

1821149068800 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 1821149068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010112715456).

1821149068800 is an abundant number, since it is smaller than the sum of its proper divisors (4199076362112).

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

1821149068800 is a wasteful number, since it uses less digits than its factorization.

1821149068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32929 (or 32908 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 1821149068800 in words is "one trillion, eight hundred twenty-one billion, one hundred forty-nine million, sixty-eight thousand, eight hundred".