10287360000 has 720 divisors, whose sum is σ = 39913473600. Its totient is φ = 2543616000.

The previous prime is 10287359993. The next prime is 10287360001. The reversal of 10287360000 is 6378201.

It is a tau number, because it is divible by the number of its divisors (720).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10287360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 218879977 + ... + 218880023.

It is an arithmetic number, because the mean of its divisors is an integer number (55435380).

Almost surely, 2^10287360000 is an apocalyptic number.

10287360000 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 10287360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956736800).

10287360000 is an abundant number, since it is smaller than the sum of its proper divisors (29626113600).

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

10287360000 is an equidigital number, since it uses as much as digits as its factorization.

10287360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10287360000 in words is "ten billion, two hundred eighty-seven million, three hundred sixty thousand".