10964088720 has 400 divisors, whose sum is σ = 41320115760. Its totient is φ = 2678427648.

The previous prime is 10964088703. The next prime is 10964088721. The reversal of 10964088720 is 2788046901.

It can be written as a sum of positive squares in 8 ways, for example, as 1184461056 + 9779627664 = 34416^2 + 98892^2 .

It is a super-2 number, since 2×10964088720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964088721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13225266 + ... + 13226094.

Almost surely, 2^10964088720 is an apocalyptic number.

10964088720 is a gapful number since it is divisible by the number (10) 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 10964088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660057880).

10964088720 is an abundant number, since it is smaller than the sum of its proper divisors (30356027040).

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

10964088720 is a wasteful number, since it uses less digits than its factorization.

10964088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10964088720 in words is "ten billion, nine hundred sixty-four million, eighty-eight thousand, seven hundred twenty".