10286165975904 has 1152 divisors, whose sum is σ = 38945976975360. Its totient is φ = 2501308035072.

The previous prime is 10286165975879. The next prime is 10286165975959. The reversal of 10286165975904 is 40957956168201.

10286165975904 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 616 + 5 + 9 + 7 + 5 + 9 + 0 + 4 = 666.

10286165975904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1898164107 + ... + 1898169525.

It is an arithmetic number, because the mean of its divisors is an integer number (33807271680).

Almost surely, 2^{10286165975904} is an apocalyptic number.

10286165975904 is a gapful number since it is divisible by the number (14) 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 10286165975904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472988487680).

10286165975904 is an abundant number, since it is smaller than the sum of its proper divisors (28659810999456).

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

10286165975904 is a wasteful number, since it uses less digits than its factorization.

10286165975904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 10286165975904 in words is "ten trillion, two hundred eighty-six billion, one hundred sixty-five million, nine hundred seventy-five thousand, nine hundred four".