10735721472 has 176 divisors, whose sum is σ = 33032881152. Its totient is φ = 3036364800.

The previous prime is 10735721471. The next prime is 10735721473. The reversal of 10735721472 is 27412753701.

It is an interprime number because it is at equal distance from previous prime (10735721471) and next prime (10735721473).

It is a self number, because there is not a number n which added to its sum of digits gives 10735721472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10735721471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2169433 + ... + 2174375.

Almost surely, 2^10735721472 is an apocalyptic number.

10735721472 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 10735721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516440576).

10735721472 is an abundant number, since it is smaller than the sum of its proper divisors (22297159680).

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

10735721472 is a wasteful number, since it uses less digits than its factorization.

10735721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 10735721472 in words is "ten billion, seven hundred thirty-five million, seven hundred twenty-one thousand, four hundred seventy-two".