1820080704960 has 560 divisors, whose sum is σ = 7834517532864. Its totient is φ = 391546109952.

The previous prime is 1820080704931. The next prime is 1820080704961. The reversal of 1820080704960 is 694070800281.

1820080704960 is a `hidden beast` number, since 1 + 82 + 0 + 0 + 80 + 7 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820080704961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2789442 + ... + 3379518.

Almost surely, 2^{1820080704960} is an apocalyptic number.

1820080704960 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 1820080704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917258766432).

1820080704960 is an abundant number, since it is smaller than the sum of its proper divisors (6014436827904).

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

1820080704960 is a wasteful number, since it uses less digits than its factorization.

1820080704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590130 (or 590111 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1820080704960 in words is "one trillion, eight hundred twenty billion, eighty million, seven hundred four thousand, nine hundred sixty".