10002144275536 has 80 divisors (see below), whose sum is σ = 22596878707200. Its totient is φ = 4199902147584.

The previous prime is 10002144275527. The next prime is 10002144275567. The reversal of 10002144275536 is 63557244120001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3096220 + ... + 5439748.

It is an arithmetic number, because the mean of its divisors is an integer number (282460983840).

Almost surely, 2^{10002144275536} is an apocalyptic number.

10002144275536 is a gapful number since it is divisible by the number (16) 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 10002144275536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11298439353600).

10002144275536 is an abundant number, since it is smaller than the sum of its proper divisors (12594734431664).

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

10002144275536 is a wasteful number, since it uses less digits than its factorization.

10002144275536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344316 (or 2344310 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 10002144275536 its reverse (63557244120001), we get a palindrome (73559388395537).

The spelling of 10002144275536 in words is "ten trillion, two billion, one hundred forty-four million, two hundred seventy-five thousand, five hundred thirty-six".