1808157012480 has 2160 divisors, whose sum is σ = 8194414508280. Its totient is φ = 381501259776.

The previous prime is 1808157012479. The next prime is 1808157012533. The reversal of 1808157012480 is 842107518081.

1808157012480 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 157 + 0 + 12 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29710727424 + 1778446285056 = 172368^2 + 1333584^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 139089000954 + ... + 139089000966.

Almost surely, 2^{1808157012480} is an apocalyptic number.

1808157012480 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 1808157012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097207254140).

1808157012480 is an abundant number, since it is smaller than the sum of its proper divisors (6386257495800).

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

1808157012480 is an frugal number, since it uses more digits than its factorization.

1808157012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 1808157012480 in words is "one trillion, eight hundred eight billion, one hundred fifty-seven million, twelve thousand, four hundred eighty".