12701910057984 has 528 divisors, whose sum is σ = 43118270802048. Its totient is φ = 3525340299264.

The previous prime is 12701910057959. The next prime is 12701910058007. The reversal of 12701910057984 is 48975001910721.

It is a super-2 number, since 2×12701910057984² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12701910057984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606409359 + ... + 1606417265.

Almost surely, 2^{12701910057984} is an apocalyptic number.

12701910057984 is a gapful number since it is divisible by the number (14) 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 12701910057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21559135401024).

12701910057984 is an abundant number, since it is smaller than the sum of its proper divisors (30416360744064).

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

12701910057984 is a wasteful number, since it uses less digits than its factorization.

12701910057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 12701910057984 in words is "twelve trillion, seven hundred one billion, nine hundred ten million, fifty-seven thousand, nine hundred eighty-four".