10287866816640 has 1792 divisors, whose sum is σ = 45898340256000. Its totient is φ = 2150553452544.

The previous prime is 10287866816597. The next prime is 10287866816671. The reversal of 10287866816640 is 4661866878201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1799519062 + ... + 1799524778.

Almost surely, 2^{10287866816640} is an apocalyptic number.

10287866816640 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 10287866816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22949170128000).

10287866816640 is an abundant number, since it is smaller than the sum of its proper divisors (35610473439360).

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

10287866816640 is an equidigital number, since it uses as much as digits as its factorization.

10287866816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10287866816640 in words is "ten trillion, two hundred eighty-seven billion, eight hundred sixty-six million, eight hundred sixteen thousand, six hundred forty".