1808852653440 has 1024 divisors, whose sum is σ = 7447145011200. Its totient is φ = 411492483072.

The previous prime is 1808852653379. The next prime is 1808852653457. The reversal of 1808852653440 is 443562588081.

1808852653440 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 85 + 26 + 534 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3458609019 + ... + 3458609541.

It is an arithmetic number, because the mean of its divisors is an integer number (7272602550).

Almost surely, 2^{1808852653440} is an apocalyptic number.

1808852653440 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 1808852653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723572505600).

1808852653440 is an abundant number, since it is smaller than the sum of its proper divisors (5638292357760).

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

1808852653440 is an frugal number, since it uses more digits than its factorization.

1808852653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1808852653440 in words is "one trillion, eight hundred eight billion, eight hundred fifty-two million, six hundred fifty-three thousand, four hundred forty".