10069824507000 has 256 divisors, whose sum is σ = 31828810291200. Its totient is φ = 2650190400000.

The previous prime is 10069824506893. The next prime is 10069824507011. The reversal of 10069824507000 is 70542896001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678049575 + ... + 678064425.

It is an arithmetic number, because the mean of its divisors is an integer number (124331290200).

Almost surely, 2^{10069824507000} is an apocalyptic number.

10069824507000 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 10069824507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914405145600).

10069824507000 is an abundant number, since it is smaller than the sum of its proper divisors (21758985784200).

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

10069824507000 is a wasteful number, since it uses less digits than its factorization.

10069824507000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17815 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10069824507000 in words is "ten trillion, sixty-nine billion, eight hundred twenty-four million, five hundred seven thousand".