1681972096320 has 168 divisors, whose sum is σ = 5850287263080. Its totient is φ = 443486208000.

The previous prime is 1681972096283. The next prime is 1681972096327. The reversal of 1681972096320 is 236902791861.

1681972096320 is a `hidden beast` number, since 168 + 1 + 9 + 72 + 0 + 96 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40826627136 + 1641145469184 = 202056^2 + 1281072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681972096327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024681 + ... + 3537320.

Almost surely, 2^{1681972096320} is an apocalyptic number.

1681972096320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681972096320 is an abundant number, since it is smaller than the sum of its proper divisors (4168315166760).

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

1681972096320 is a wasteful number, since it uses less digits than its factorization.

1681972096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562113 (or 6562100 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1681972096320 in words is "one trillion, six hundred eighty-one billion, nine hundred seventy-two million, ninety-six thousand, three hundred twenty".