10287708963840 has 4752 divisors, whose sum is σ = 50730946418880. Its totient is φ = 1974252994560.

The previous prime is 10287708963839. The next prime is 10287708963841. The reversal of 10287708963840 is 4836980778201.

10287708963840 is a `hidden beast` number, since 102 + 8 + 7 + 70 + 89 + 6 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10287708963839) and next prime (10287708963841).

It is a tau number, because it is divible by the number of its divisors (4752).

It is a super-3 number, since 3×10287708963840³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10287708963841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 354748584946 + ... + 354748584974.

Almost surely, 2^{10287708963840} is an apocalyptic number.

10287708963840 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 10287708963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25365473209440).

10287708963840 is an abundant number, since it is smaller than the sum of its proper divisors (40443237455040).

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

10287708963840 is a wasteful number, since it uses less digits than its factorization.

10287708963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 10287708963840 in words is "ten trillion, two hundred eighty-seven billion, seven hundred eight million, nine hundred sixty-three thousand, eight hundred forty".