1681031350080 has 336 divisors, whose sum is σ = 5893925768640. Its totient is φ = 439679287296.

The previous prime is 1681031350027. The next prime is 1681031350099. The reversal of 1681031350080 is 800531301861.

1681031350080 is a `hidden beast` number, since 1 + 68 + 1 + 0 + 3 + 13 + 500 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33201264 + ... + 33251856.

It is an arithmetic number, because the mean of its divisors is an integer number (17541445740).

Almost surely, 2^{1681031350080} is an apocalyptic number.

1681031350080 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 1681031350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946962884320).

1681031350080 is an abundant number, since it is smaller than the sum of its proper divisors (4212894418560).

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

1681031350080 is a wasteful number, since it uses less digits than its factorization.

1681031350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50838 (or 50825 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1681031350080 in words is "one trillion, six hundred eighty-one billion, thirty-one million, three hundred fifty thousand, eighty".