10275010704 has 300 divisors, whose sum is σ = 35537289084. Its totient is φ = 2855720448.

The previous prime is 10275010699. The next prime is 10275010721. The reversal of 10275010704 is 40701057201.

It can be written as a sum of positive squares in 2 ways, for example, as 7734850704 + 2540160000 = 87948^2 + 50400^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2347462 + ... + 2351834.

Almost surely, 2^10275010704 is an apocalyptic number.

10275010704 is a gapful number since it is divisible by the number (14) 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 10275010704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768644542).

10275010704 is an abundant number, since it is smaller than the sum of its proper divisors (25262278380).

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

10275010704 is a wasteful number, since it uses less digits than its factorization.

10275010704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10275010704 its reverse (40701057201), we get a palindrome (50976067905).

The spelling of 10275010704 in words is "ten billion, two hundred seventy-five million, ten thousand, seven hundred four".