10820309472 has 144 divisors (see below), whose sum is σ = 35984108160. Its totient is φ = 3019597056.

The previous prime is 10820309459. The next prime is 10820309561. The reversal of 10820309472 is 27490302801.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 24279 + ... + 149097.

It is an arithmetic number, because the mean of its divisors is an integer number (249889640).

Almost surely, 2^10820309472 is an apocalyptic number.

10820309472 is a gapful number since it is divisible by the number (12) 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 10820309472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992054080).

10820309472 is an abundant number, since it is smaller than the sum of its proper divisors (25163798688).

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

10820309472 is a wasteful number, since it uses less digits than its factorization.

10820309472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124885 (or 124874 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10820309472 in words is "ten billion, eight hundred twenty million, three hundred nine thousand, four hundred seventy-two".