10275716640 has 192 divisors, whose sum is σ = 39168831744. Its totient is φ = 2210562048.

The previous prime is 10275716639. The next prime is 10275716663. The reversal of 10275716640 is 4661757201.

10275716640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32829 + ... + 147068.

It is an arithmetic number, because the mean of its divisors is an integer number (204004332).

Almost surely, 2^10275716640 is an apocalyptic number.

10275716640 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 10275716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584415872).

10275716640 is an abundant number, since it is smaller than the sum of its proper divisors (28893115104).

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

10275716640 is a wasteful number, since it uses less digits than its factorization.

10275716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179939 (or 179931 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 10275716640 in words is "ten billion, two hundred seventy-five million, seven hundred sixteen thousand, six hundred forty".