10961214720 has 144 divisors (see below), whose sum is σ = 35160495552. Its totient is φ = 2910208000.

The previous prime is 10961214689. The next prime is 10961214731. The reversal of 10961214720 is 2741216901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888595 + ... + 900845.

It is an arithmetic number, because the mean of its divisors is an integer number (244170108).

Almost surely, 2^10961214720 is an apocalyptic number.

10961214720 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 10961214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580247776).

10961214720 is an abundant number, since it is smaller than the sum of its proper divisors (24199280832).

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

10961214720 is a wasteful number, since it uses less digits than its factorization.

10961214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12494 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10961214720 in words is "ten billion, nine hundred sixty-one million, two hundred fourteen thousand, seven hundred twenty".