10069228512 has 288 divisors, whose sum is σ = 34296417792. Its totient is φ = 2739889152.

The previous prime is 10069228453. The next prime is 10069228517. The reversal of 10069228512 is 21582296001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069228517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18407823 + ... + 18408369.

It is an arithmetic number, because the mean of its divisors is an integer number (119084784).

Almost surely, 2^10069228512 is an apocalyptic number.

10069228512 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 10069228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17148208896).

10069228512 is an abundant number, since it is smaller than the sum of its proper divisors (24227189280).

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

10069228512 is a wasteful number, since it uses less digits than its factorization.

10069228512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10069228512 in words is "ten billion, sixty-nine million, two hundred twenty-eight thousand, five hundred twelve".