10065824076000 has 768 divisors, whose sum is σ = 42068756201472. Its totient is φ = 2042949888000.

The previous prime is 10065824075971. The next prime is 10065824076001. The reversal of 10065824076000 is 67042856001.

It is a super-3 number, since 3×10065824076000³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10065824076000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065824076001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39605329 + ... + 39858671.

It is an arithmetic number, because the mean of its divisors is an integer number (54777026304).

Almost surely, 2^{10065824076000} is an apocalyptic number.

10065824076000 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 10065824076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034378100736).

10065824076000 is an abundant number, since it is smaller than the sum of its proper divisors (32002932125472).

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

10065824076000 is a wasteful number, since it uses less digits than its factorization.

10065824076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253432 (or 253414 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10065824076000 in words is "ten trillion, sixty-five billion, eight hundred twenty-four million, seventy-six thousand".