10069249996080 has 1280 divisors, whose sum is σ = 39606516449280. Its totient is φ = 2330037964800.

The previous prime is 10069249996073. The next prime is 10069249996081. The reversal of 10069249996080 is 8069994296001.

10069249996080 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 2 + 499 + 9 + 60 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10069249995999 and 10069249996017.

It is not an unprimeable number, because it can be changed into a prime (10069249996081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9212488014 + ... + 9212489106.

It is an arithmetic number, because the mean of its divisors is an integer number (30942590976).

Almost surely, 2^{10069249996080} is an apocalyptic number.

10069249996080 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 10069249996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803258224640).

10069249996080 is an abundant number, since it is smaller than the sum of its proper divisors (29537266453200).

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

10069249996080 is a wasteful number, since it uses less digits than its factorization.

10069249996080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 10069249996080 in words is "ten trillion, sixty-nine billion, two hundred forty-nine million, nine hundred ninety-six thousand, eighty".