10069116480 has 280 divisors, whose sum is σ = 35936651520. Its totient is φ = 2676188160.

The previous prime is 10069116451. The next prime is 10069116503. The reversal of 10069116480 is 8461196001.

It is a happy number.

10069116480 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 1 + 1 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12415275 + ... + 12416085.

It is an arithmetic number, because the mean of its divisors is an integer number (128345184).

Almost surely, 2^10069116480 is an apocalyptic number.

10069116480 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 10069116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968325760).

10069116480 is an abundant number, since it is smaller than the sum of its proper divisors (25867535040).

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

10069116480 is an equidigital number, since it uses as much as digits as its factorization.

10069116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10069116480 in words is "ten billion, sixty-nine million, one hundred sixteen thousand, four hundred eighty".