10801512960 has 240 divisors, whose sum is σ = 40170214656. Its totient is φ = 2468831232.

The previous prime is 10801512947. The next prime is 10801513003. The reversal of 10801512960 is 6921510801.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361969 + ... + 390671.

Almost surely, 2^10801512960 is an apocalyptic number.

10801512960 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 10801512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20085107328).

10801512960 is an abundant number, since it is smaller than the sum of its proper divisors (29368701696).

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

10801512960 is an equidigital number, since it uses as much as digits as its factorization.

10801512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28743 (or 28720 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 10801512960 in words is "ten billion, eight hundred one million, five hundred twelve thousand, nine hundred sixty".