10743456827712 has 224 divisors, whose sum is σ = 32703836405760. Its totient is φ = 3049056460800.

The previous prime is 10743456827693. The next prime is 10743456827737. The reversal of 10743456827712 is 21772865434701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128765913 + ... + 128849319.

Almost surely, 2^{10743456827712} is an apocalyptic number.

10743456827712 is a gapful number since it is divisible by the number (12) 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 10743456827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351918202880).

10743456827712 is an abundant number, since it is smaller than the sum of its proper divisors (21960379578048).

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

10743456827712 is a wasteful number, since it uses less digits than its factorization.

10743456827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84069 (or 84059 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 10743456827712 in words is "ten trillion, seven hundred forty-three billion, four hundred fifty-six million, eight hundred twenty-seven thousand, seven hundred twelve".