10871734272 has 384 divisors, whose sum is σ = 35203304880. Its totient is φ = 2972712960.

The previous prime is 10871734271. The next prime is 10871734273. The reversal of 10871734272 is 27243717801.

It is an interprime number because it is at equal distance from previous prime (10871734271) and next prime (10871734273).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10871734271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178225122 + ... + 178225182.

Almost surely, 2^10871734272 is an apocalyptic number.

10871734272 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 10871734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601652440).

10871734272 is an abundant number, since it is smaller than the sum of its proper divisors (24331570608).

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

10871734272 is an frugal number, since it uses more digits than its factorization.

10871734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 10871734272 in words is "ten billion, eight hundred seventy-one million, seven hundred thirty-four thousand, two hundred seventy-two".