1802304552960 has 1088 divisors, whose sum is σ = 7093688348160. Its totient is φ = 431845539840.

The previous prime is 1802304552913. The next prime is 1802304553003. The reversal of 1802304552960 is 692554032081.

1802304552960 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 3 + 0 + 4 + 552 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459317500 + ... + 3459318020.

Almost surely, 2^{1802304552960} is an apocalyptic number.

1802304552960 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 1802304552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546844174080).

1802304552960 is an abundant number, since it is smaller than the sum of its proper divisors (5291383795200).

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

1802304552960 is an equidigital number, since it uses as much as digits as its factorization.

1802304552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1802304552960 in words is "one trillion, eight hundred two billion, three hundred four million, five hundred fifty-two thousand, nine hundred sixty".