10287106866432 has 288 divisors, whose sum is σ = 33514913013120. Its totient is φ = 3086438400000.

The previous prime is 10287106866409. The next prime is 10287106866437. The reversal of 10287106866432 is 23466860178201.

It is a happy number.

10287106866432 is a `hidden beast` number, since 1 + 0 + 2 + 87 + 10 + 68 + 66 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287106866437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7009432 + ... + 8349032.

It is an arithmetic number, because the mean of its divisors is an integer number (116371225740).

Almost surely, 2^{10287106866432} is an apocalyptic number.

10287106866432 is a gapful number since it is divisible by the number (12) 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 10287106866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16757456506560).

10287106866432 is an abundant number, since it is smaller than the sum of its proper divisors (23227806146688).

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

10287106866432 is a wasteful number, since it uses less digits than its factorization.

10287106866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339738 (or 1339718 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10287106866432 in words is "ten trillion, two hundred eighty-seven billion, one hundred six million, eight hundred sixty-six thousand, four hundred thirty-two".