107628800211831 has 32 divisors (see below), whose sum is σ = 149575776768000. Its totient is φ = 68755370768000.

The previous prime is 107628800211817. The next prime is 107628800211839. The reversal of 107628800211831 is 138112008826701.

It is a cyclic number.

It is not a de Polignac number, because 107628800211831 - 2¹⁰ = 107628800210807 is a prime.

It is a super-2 number, since 2×107628800211831² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107628800211839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11889706 + ... + 18884456.

It is an arithmetic number, because the mean of its divisors is an integer number (4674243024000).

Almost surely, 2^{107628800211831} is an apocalyptic number.

107628800211831 is a deficient number, since it is larger than the sum of its proper divisors (41946976556169).

107628800211831 is a wasteful number, since it uses less digits than its factorization.

107628800211831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996119.

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 107628800211831 in words is "one hundred seven trillion, six hundred twenty-eight billion, eight hundred million, two hundred eleven thousand, eight hundred thirty-one".