10192680645840 has 1920 divisors, whose sum is σ = 45361540104192. Its totient is φ = 1988559175680.

The previous prime is 10192680645827. The next prime is 10192680645853. The reversal of 10192680645840 is 4854608629101.

10192680645840 is a `hidden beast` number, since 1 + 0 + 1 + 92 + 68 + 0 + 6 + 458 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10192680645827) and next prime (10192680645853).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18299246842 + ... + 18299247398.

Almost surely, 2^{10192680645840} is an apocalyptic number.

10192680645840 is a gapful number since it is divisible by the number (10) 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 10192680645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680770052096).

10192680645840 is an abundant number, since it is smaller than the sum of its proper divisors (35168859458352).

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

10192680645840 is a wasteful number, since it uses less digits than its factorization.

10192680645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10192680645840 in words is "ten trillion, one hundred ninety-two billion, six hundred eighty million, six hundred forty-five thousand, eight hundred forty".