1681872669072 has 400 divisors, whose sum is σ = 5196945802752. Its totient is φ = 525451069440.

The previous prime is 1681872669067. The next prime is 1681872669101. The reversal of 1681872669072 is 2709662781861.

It is an unprimeable number.

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, 1697146497 + ... + 1697147487.

Almost surely, 2^{1681872669072} is an apocalyptic number.

1681872669072 is a gapful number since it is divisible by the number (12) 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 1681872669072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598472901376).

1681872669072 is an abundant number, since it is smaller than the sum of its proper divisors (3515073133680).

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

1681872669072 is an frugal number, since it uses more digits than its factorization.

1681872669072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1681872669072 in words is "one trillion, six hundred eighty-one billion, eight hundred seventy-two million, six hundred sixty-nine thousand, seventy-two".