1680020542431 has 240 divisors, whose sum is σ = 3308679601920. Its totient is φ = 839395872000.

The previous prime is 1680020542427. The next prime is 1680020542451. The reversal of 1680020542431 is 1342450200861.

It is a happy number.

1680020542431 is a `hidden beast` number, since 1 + 6 + 80 + 0 + 2 + 0 + 542 + 4 + 31 = 666.

It is not a de Polignac number, because 1680020542431 - 2² = 1680020542427 is a prime.

It is a super-2 number, since 2×1680020542431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680020542451) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127084740 + ... + 127097958.

It is an arithmetic number, because the mean of its divisors is an integer number (13786165008).

Almost surely, 2^{1680020542431} is an apocalyptic number.

1680020542431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1680020542431 is a deficient number, since it is larger than the sum of its proper divisors (1628659059489).

1680020542431 is a wasteful number, since it uses less digits than its factorization.

1680020542431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1680020542431 in words is "one trillion, six hundred eighty billion, twenty million, five hundred forty-two thousand, four hundred thirty-one".