1821795186240 has 672 divisors, whose sum is σ = 6846342497280. Its totient is φ = 442879377408.

The previous prime is 1821795186221. The next prime is 1821795186241. The reversal of 1821795186240 is 426815971281.

1821795186240 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 7 + 9 + 5 + 1 + 8 + 624 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1821795186241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204991077 + ... + 204999963.

Almost surely, 2^{1821795186240} is an apocalyptic number.

1821795186240 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 1821795186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423171248640).

1821795186240 is an abundant number, since it is smaller than the sum of its proper divisors (5024547311040).

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

1821795186240 is a wasteful number, since it uses less digits than its factorization.

1821795186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1821795186240 in words is "one trillion, eight hundred twenty-one billion, seven hundred ninety-five million, one hundred eighty-six thousand, two hundred forty".