10962000000 has 896 divisors, whose sum is σ = 47811888000. Its totient is φ = 2419200000.

The previous prime is 10961999999. The next prime is 10962000001. The reversal of 10962000000 is 26901.

It is an interprime number because it is at equal distance from previous prime (10961999999) and next prime (10962000001).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10962000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 377999986 + ... + 378000014.

Almost surely, 2^10962000000 is an apocalyptic number.

10962000000 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 10962000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23905944000).

10962000000 is an abundant number, since it is smaller than the sum of its proper divisors (36849888000).

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

10962000000 is an frugal number, since it uses more digits than its factorization.

10962000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10962000000 its reverse (26901), we get a palindrome (10962026901).

The spelling of 10962000000 in words is "ten billion, nine hundred sixty-two million", and thus it is an aban number.