21307191610068 has 288 divisors, whose sum is σ = 70327396106240. Its totient is φ = 5281796056320.

The previous prime is 21307191610039. The next prime is 21307191610141. The reversal of 21307191610068 is 86001619170312.

21307191610068 is a `hidden beast` number, since 2 + 13 + 0 + 7 + 19 + 1 + 610 + 0 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6557283 + ... + 9252693.

Almost surely, 2^{21307191610068} is an apocalyptic number.

21307191610068 is a gapful number since it is divisible by the number (28) 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 21307191610068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163698053120).

21307191610068 is an abundant number, since it is smaller than the sum of its proper divisors (49020204496172).

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

21307191610068 is a wasteful number, since it uses less digits than its factorization.

21307191610068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695587 (or 2695582 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 21307191610068 in words is "twenty-one trillion, three hundred seven billion, one hundred ninety-one million, six hundred ten thousand, sixty-eight".