1801551106080 has 1344 divisors, whose sum is σ = 7446291068160. Its totient is φ = 407288217600.

The previous prime is 1801551106037. The next prime is 1801551106081. The reversal of 1801551106080 is 806011551081.

1801551106080 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 5 + 511 + 0 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1801551106081) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1209905976 + ... + 1209907464.

It is an arithmetic number, because the mean of its divisors is an integer number (5540395140).

Almost surely, 2^{1801551106080} is an apocalyptic number.

1801551106080 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 1801551106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723145534080).

1801551106080 is an abundant number, since it is smaller than the sum of its proper divisors (5644739962080).

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

1801551106080 is a wasteful number, since it uses less digits than its factorization.

1801551106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 1801551106080 in words is "one trillion, eight hundred one billion, five hundred fifty-one million, one hundred six thousand, eighty".