10285004879016 has 256 divisors, whose sum is σ = 31999269273600. Its totient is φ = 2688276729600.

The previous prime is 10285004878957. The next prime is 10285004879027. The reversal of 10285004879016 is 61097840058201.

10285004879016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10285004879016² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10285004879016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45702531 + ... + 45927021.

It is an arithmetic number, because the mean of its divisors is an integer number (124997145600).

Almost surely, 2^{10285004879016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285004879016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999634636800).

10285004879016 is an abundant number, since it is smaller than the sum of its proper divisors (21714264394584).

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

10285004879016 is a wasteful number, since it uses less digits than its factorization.

10285004879016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225020 (or 225016 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 10285004879016 in words is "ten trillion, two hundred eighty-five billion, four million, eight hundred seventy-nine thousand, sixteen".