10275610240 has 256 divisors, whose sum is σ = 29450615040. Its totient is φ = 3354624000.

The previous prime is 10275610211. The next prime is 10275610297. The reversal of 10275610240 is 4201657201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10275610199 and 10275610208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7897590 + ... + 7898890.

It is an arithmetic number, because the mean of its divisors is an integer number (115041465).

Almost surely, 2^10275610240 is an apocalyptic number.

10275610240 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 10275610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725307520).

10275610240 is an abundant number, since it is smaller than the sum of its proper divisors (19175004800).

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

10275610240 is a wasteful number, since it uses less digits than its factorization.

10275610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 10275610240 in words is "ten billion, two hundred seventy-five million, six hundred ten thousand, two hundred forty".