10385565267000 has 1024 divisors, whose sum is σ = 40801488998400. Its totient is φ = 2136637440000.

The previous prime is 10385565266983. The next prime is 10385565267023. The reversal of 10385565267000 is 76256558301.

10385565267000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12527822586 + ... + 12527823414.

It is an arithmetic number, because the mean of its divisors is an integer number (39845204100).

Almost surely, 2^{10385565267000} is an apocalyptic number.

10385565267000 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 10385565267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400744499200).

10385565267000 is an abundant number, since it is smaller than the sum of its proper divisors (30415923731400).

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

10385565267000 is a wasteful number, since it uses less digits than its factorization.

10385565267000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 10385565267000 in words is "ten trillion, three hundred eighty-five billion, five hundred sixty-five million, two hundred sixty-seven thousand".