10810920960 has 1040 divisors, whose sum is σ = 47573328000. Its totient is φ = 2341011456.

The previous prime is 10810920937. The next prime is 10810921021. The reversal of 10810920960 is 6902901801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568995831 + ... + 568995849.

Almost surely, 2^10810920960 is an apocalyptic number.

10810920960 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 10810920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786664000).

10810920960 is an abundant number, since it is smaller than the sum of its proper divisors (36762407040).

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

10810920960 is an frugal number, since it uses more digits than its factorization.

10810920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10810920960 in words is "ten billion, eight hundred ten million, nine hundred twenty thousand, nine hundred sixty".