10398126919680 has 1248 divisors, whose sum is σ = 38274753823488. Its totient is φ = 2707292160000.

The previous prime is 10398126919667. The next prime is 10398126919681. The reversal of 10398126919680 is 8691962189301.

10398126919680 is a `hidden beast` number, since 1 + 0 + 39 + 81 + 269 + 196 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398126919681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68861767605 + ... + 68861767755.

It is an arithmetic number, because the mean of its divisors is an integer number (30668873256).

Almost surely, 2^{10398126919680} is an apocalyptic number.

10398126919680 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 10398126919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137376911744).

10398126919680 is an abundant number, since it is smaller than the sum of its proper divisors (27876626903808).

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

10398126919680 is a wasteful number, since it uses less digits than its factorization.

10398126919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 10398126919680 in words is "ten trillion, three hundred ninety-eight billion, one hundred twenty-six million, nine hundred nineteen thousand, six hundred eighty".