10812684960 has 432 divisors, whose sum is σ = 46827904032. Its totient is φ = 2246630400.

The previous prime is 10812684923. The next prime is 10812684983. The reversal of 10812684960 is 6948621801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 769195 + ... + 783125.

It is an arithmetic number, because the mean of its divisors is an integer number (108397926).

Almost surely, 2^10812684960 is an apocalyptic number.

10812684960 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 10812684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23413952016).

10812684960 is an abundant number, since it is smaller than the sum of its proper divisors (36015219072).

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

10812684960 is a wasteful number, since it uses less digits than its factorization.

10812684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977 (or 13959 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10812684960 in words is "ten billion, eight hundred twelve million, six hundred eighty-four thousand, nine hundred sixty".