10126256448 has 448 divisors, whose sum is σ = 36229552128. Its totient is φ = 2415329280.

The previous prime is 10126256369. The next prime is 10126256461. The reversal of 10126256448 is 84465262101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10806636 + ... + 10807572.

It is an arithmetic number, because the mean of its divisors is an integer number (80869536).

Almost surely, 2^10126256448 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 10126256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114776064).

10126256448 is an abundant number, since it is smaller than the sum of its proper divisors (26103295680).

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

10126256448 is a wasteful number, since it uses less digits than its factorization.

10126256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 10126256448 in words is "ten billion, one hundred twenty-six million, two hundred fifty-six thousand, four hundred forty-eight".