12701790050976 has 576 divisors, whose sum is σ = 39980492697600. Its totient is φ = 3801368143872.

The previous prime is 12701790050959. The next prime is 12701790050987. The reversal of 12701790050976 is 67905009710721.

It is a happy number.

12701790050976 is a `hidden beast` number, since 127 + 0 + 1 + 7 + 9 + 0 + 0 + 509 + 7 + 6 = 666.

It is a super-2 number, since 2×12701790050976² (a number of 27 digits) contains 22 as substring.

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, 13821316245 + ... + 13821317163.

It is an arithmetic number, because the mean of its divisors is an integer number (69410577600).

Almost surely, 2^{12701790050976} is an apocalyptic number.

12701790050976 is a gapful number since it is divisible by the number (16) 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 12701790050976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990246348800).

12701790050976 is an abundant number, since it is smaller than the sum of its proper divisors (27278702646624).

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

12701790050976 is a wasteful number, since it uses less digits than its factorization.

12701790050976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 12701790050976 in words is "twelve trillion, seven hundred one billion, seven hundred ninety million, fifty thousand, nine hundred seventy-six".