1819881020160 has 864 divisors, whose sum is σ = 7447275343872. Its totient is φ = 401524162560.

The previous prime is 1819881020149. The next prime is 1819881020201. The reversal of 1819881020160 is 610201889181.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1392410227 + ... + 1392411533.

It is an arithmetic number, because the mean of its divisors is an integer number (8619531648).

Almost surely, 2^{1819881020160} is an apocalyptic number.

1819881020160 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 1819881020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723637671936).

1819881020160 is an abundant number, since it is smaller than the sum of its proper divisors (5627394323712).

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

1819881020160 is a wasteful number, since it uses less digits than its factorization.

1819881020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 1819881020160 in words is "one trillion, eight hundred nineteen billion, eight hundred eighty-one million, twenty thousand, one hundred sixty".