1820541608480 has 192 divisors, whose sum is σ = 5021759296512. Its totient is φ = 610696765440.

The previous prime is 1820541608453. The next prime is 1820541608489. The reversal of 1820541608480 is 848061450281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (1820541608489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286200500 + ... + 286206860.

It is an arithmetic number, because the mean of its divisors is an integer number (26154996336).

Almost surely, 2^{1820541608480} is an apocalyptic number.

1820541608480 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 1820541608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510879648256).

1820541608480 is an abundant number, since it is smaller than the sum of its proper divisors (3201217688032).

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

1820541608480 is a wasteful number, since it uses less digits than its factorization.

1820541608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11867 (or 11859 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The spelling of 1820541608480 in words is "one trillion, eight hundred twenty billion, five hundred forty-one million, six hundred eight thousand, four hundred eighty".