10331686080 has 280 divisors, whose sum is σ = 38915144928. Its totient is φ = 2592940032.

The previous prime is 10331686061. The next prime is 10331686081. The reversal of 10331686080 is 8068613301.

10331686080 is a `hidden beast` number, since 1 + 0 + 33 + 16 + 8 + 608 + 0 = 666.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10331686081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 428917 + ... + 452363.

Almost surely, 2^10331686080 is an apocalyptic number.

10331686080 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 10331686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457572464).

10331686080 is an abundant number, since it is smaller than the sum of its proper divisors (28583458848).

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

10331686080 is a wasteful number, since it uses less digits than its factorization.

10331686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493 (or 23474 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10331686080 in words is "ten billion, three hundred thirty-one million, six hundred eighty-six thousand, eighty".