10201485417288 has 64 divisors (see below), whose sum is σ = 27896823662400. Its totient is φ = 3083071361280.

The previous prime is 10201485417257. The next prime is 10201485417353. The reversal of 10201485417288 is 88271458410201.

10201485417288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10201485417288.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51700443 + ... + 51897386.

It is an arithmetic number, because the mean of its divisors is an integer number (435887869725).

Almost surely, 2^{10201485417288} is an apocalyptic number.

It is an amenable number.

10201485417288 is an abundant number, since it is smaller than the sum of its proper divisors (17695338245112).

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

10201485417288 is a wasteful number, since it uses less digits than its factorization.

10201485417288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103598222 (or 103598218 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 51.

The spelling of 10201485417288 in words is "ten trillion, two hundred one billion, four hundred eighty-five million, four hundred seventeen thousand, two hundred eighty-eight".