10726944651315 has 64 divisors (see below), whose sum is σ = 20235698017920. Its totient is φ = 5372824965120.

The previous prime is 10726944651307. The next prime is 10726944651329. The reversal of 10726944651315 is 51315644962701.

10726944651315 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 69 + 446 + 5 + 131 + 5 = 666.

It is not a de Polignac number, because 10726944651315 - 2³ = 10726944651307 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 4011474 + ... + 6127463.

It is an arithmetic number, because the mean of its divisors is an integer number (316182781530).

Almost surely, 2^{10726944651315} is an apocalyptic number.

10726944651315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10726944651315 is a deficient number, since it is larger than the sum of its proper divisors (9508753366605).

10726944651315 is a wasteful number, since it uses less digits than its factorization.

10726944651315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139429 (or 10139423 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10726944651315 in words is "ten trillion, seven hundred twenty-six billion, nine hundred forty-four million, six hundred fifty-one thousand, three hundred fifteen".