10275744564160 has 112 divisors (see below), whose sum is σ = 24601516204032. Its totient is φ = 4088065049600.

The previous prime is 10275744564119. The next prime is 10275744564227. The reversal of 10275744564160 is 6146544757201.

It is a junction number, because it is equal to n+sod(n) for n = 10275744564098 and 10275744564107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478131015 + ... + 478152505.

Almost surely, 2^{10275744564160} is an apocalyptic number.

10275744564160 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 10275744564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300758102016).

10275744564160 is an abundant number, since it is smaller than the sum of its proper divisors (14325771639872).

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

10275744564160 is a wasteful number, since it uses less digits than its factorization.

10275744564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29522 (or 29512 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 10275744564160 in words is "ten trillion, two hundred seventy-five billion, seven hundred forty-four million, five hundred sixty-four thousand, one hundred sixty".