10421681719680 has 1280 divisors, whose sum is σ = 47898681937920. Its totient is φ = 2095663104000.

The previous prime is 10421681719679. The next prime is 10421681719681. The reversal of 10421681719680 is 8691718612401.

10421681719680 is a `hidden beast` number, since 1 + 0 + 421 + 68 + 1 + 71 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10421681719679) and next prime (10421681719681).

It is a super-2 number, since 2×10421681719680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421681719681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123699970 + ... + 123784190.

It is an arithmetic number, because the mean of its divisors is an integer number (37420845264).

Almost surely, 2^{10421681719680} is an apocalyptic number.

10421681719680 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 10421681719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949340968960).

10421681719680 is an abundant number, since it is smaller than the sum of its proper divisors (37477000218240).

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

10421681719680 is a wasteful number, since it uses less digits than its factorization.

10421681719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84301 (or 84280 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10421681719680 in words is "ten trillion, four hundred twenty-one billion, six hundred eighty-one million, seven hundred nineteen thousand, six hundred eighty".