10288792960 has 64 divisors (see below), whose sum is σ = 24732817200. Its totient is φ = 4092733440.

The previous prime is 10288792949. The next prime is 10288792979. The reversal of 10288792960 is 6929788201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10288792898 and 10288792907.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71431 + ... + 160249.

Almost surely, 2^10288792960 is an apocalyptic number.

10288792960 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 10288792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366408600).

10288792960 is an abundant number, since it is smaller than the sum of its proper divisors (14444024240).

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

10288792960 is an equidigital number, since it uses as much as digits as its factorization.

10288792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89019 (or 89007 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 10288792960 in words is "ten billion, two hundred eighty-eight million, seven hundred ninety-two thousand, nine hundred sixty".