10287710208 has 432 divisors, whose sum is σ = 34351218720. Its totient is φ = 3057647616.

The previous prime is 10287710149. The next prime is 10287710221. The reversal of 10287710208 is 80201778201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541458423 + ... + 541458441.

It is an arithmetic number, because the mean of its divisors is an integer number (79516710).

Almost surely, 2^10287710208 is an apocalyptic number.

10287710208 is a gapful number since it is divisible by the number (18) 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 10287710208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175609360).

10287710208 is an abundant number, since it is smaller than the sum of its proper divisors (24063508512).

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

10287710208 is an frugal number, since it uses more digits than its factorization.

10287710208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 10287710208 in words is "ten billion, two hundred eighty-seven million, seven hundred ten thousand, two hundred eight".