10726288658960 has 80 divisors (see below), whose sum is σ = 29196434558592. Its totient is φ = 3587887488000.

The previous prime is 10726288658957. The next prime is 10726288658963. The reversal of 10726288658960 is 6985688262701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10726288658957) and next prime (10726288658963).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10726288658963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233563466 + ... + 233609385.

Almost surely, 2^{10726288658960} is an apocalyptic number.

10726288658960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10726288658960 is an abundant number, since it is smaller than the sum of its proper divisors (18470145899632).

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

10726288658960 is a wasteful number, since it uses less digits than its factorization.

10726288658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467172912 (or 467172906 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 68.

The spelling of 10726288658960 in words is "ten trillion, seven hundred twenty-six billion, two hundred eighty-eight million, six hundred fifty-eight thousand, nine hundred sixty".