10739627712 has 168 divisors, whose sum is σ = 34363517760. Its totient is φ = 3178667520.

The previous prime is 10739627711. The next prime is 10739627713. The reversal of 10739627712 is 21772693701.

10739627712 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 9 + 627 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10739627711) and next prime (10739627713).

It is not an unprimeable number, because it can be changed into a prime (10739627711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252739 + ... + 292157.

Almost surely, 2^10739627712 is an apocalyptic number.

10739627712 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 10739627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17181758880).

10739627712 is an abundant number, since it is smaller than the sum of its proper divisors (23623890048).

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

10739627712 is a wasteful number, since it uses less digits than its factorization.

10739627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39491 (or 39478 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 10739627712 in words is "ten billion, seven hundred thirty-nine million, six hundred twenty-seven thousand, seven hundred twelve".