10256584372144 has 80 divisors (see below), whose sum is σ = 21811066752384. Its totient is φ = 4633660108800.

The previous prime is 10256584372117. The next prime is 10256584372171. The reversal of 10256584372144 is 44127348565201.

It is an interprime number because it is at equal distance from previous prime (10256584372117) and next prime (10256584372171).

It is a junction number, because it is equal to n+sod(n) for n = 10256584372091 and 10256584372100.

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, 36920707 + ... + 37197469.

Almost surely, 2^{10256584372144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256584372144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905533376192).

10256584372144 is an abundant number, since it is smaller than the sum of its proper divisors (11554482380240).

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

10256584372144 is a wasteful number, since it uses less digits than its factorization.

10256584372144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278066 (or 278060 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 10256584372144 in words is "ten trillion, two hundred fifty-six billion, five hundred eighty-four million, three hundred seventy-two thousand, one hundred forty-four".