10065002640000 has 1920 divisors, whose sum is σ = 42651417177600. Its totient is φ = 2057425920000.

The previous prime is 10065002639981. The next prime is 10065002640041. The reversal of 10065002640000 is 4620056001.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13619759631 + ... + 13619760369.

It is an arithmetic number, because the mean of its divisors is an integer number (22214279780).

Almost surely, 2^{10065002640000} is an apocalyptic number.

10065002640000 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 10065002640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325708588800).

10065002640000 is an abundant number, since it is smaller than the sum of its proper divisors (32586414537600).

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

10065002640000 is an equidigital number, since it uses as much as digits as its factorization.

10065002640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10065002640000 its reverse (4620056001), we get a palindrome (10069622696001).

The spelling of 10065002640000 in words is "ten trillion, sixty-five billion, two million, six hundred forty thousand".