10286320878120 has 384 divisors, whose sum is σ = 37471542451200. Its totient is φ = 2249746329600.

The previous prime is 10286320878091. The next prime is 10286320878131. The reversal of 10286320878120 is 2187802368201.

It is a self number, because there is not a number n which added to its sum of digits gives 10286320878120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15905890 + ... + 16539950.

It is an arithmetic number, because the mean of its divisors is an integer number (97582141800).

Almost surely, 2^{10286320878120} is an apocalyptic number.

10286320878120 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 10286320878120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735771225600).

10286320878120 is an abundant number, since it is smaller than the sum of its proper divisors (27185221573080).

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

10286320878120 is a wasteful number, since it uses less digits than its factorization.

10286320878120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634209 (or 634198 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 10286320878120 in words is "ten trillion, two hundred eighty-six billion, three hundred twenty million, eight hundred seventy-eight thousand, one hundred twenty".