12570262951680 has 864 divisors, whose sum is σ = 51540666777600. Its totient is φ = 2767927541760.

The previous prime is 12570262951679. The next prime is 12570262951703. The reversal of 12570262951680 is 8615926207521.

12570262951680 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 0 + 2 + 629 + 5 + 1 + 6 + 8 + 0 = 666.

It is a congruent number.

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, 557453046 + ... + 557475594.

Almost surely, 2^{12570262951680} is an apocalyptic number.

12570262951680 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 12570262951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770333388800).

12570262951680 is an abundant number, since it is smaller than the sum of its proper divisors (38970403825920).

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

12570262951680 is a wasteful number, since it uses less digits than its factorization.

12570262951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22837 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12570262951680 in words is "twelve trillion, five hundred seventy billion, two hundred sixty-two million, nine hundred fifty-one thousand, six hundred eighty".