10493267902656 has 336 divisors, whose sum is σ = 35588174899200. Its totient is φ = 2725522060800.

The previous prime is 10493267902643. The next prime is 10493267902693. The reversal of 10493267902656 is 65620976239401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10493267902656² (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 10493267902656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7310161 + ... + 8626991.

It is an arithmetic number, because the mean of its divisors is an integer number (105917187200).

Almost surely, 2^{10493267902656} is an apocalyptic number.

10493267902656 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 10493267902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794087449600).

10493267902656 is an abundant number, since it is smaller than the sum of its proper divisors (25094906996544).

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

10493267902656 is a wasteful number, since it uses less digits than its factorization.

10493267902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316889 (or 1316854 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 10493267902656 in words is "ten trillion, four hundred ninety-three billion, two hundred sixty-seven million, nine hundred two thousand, six hundred fifty-six".