10126041564 has 96 divisors (see below), whose sum is σ = 25400148480. Its totient is φ = 3129954048.

The previous prime is 10126041553. The next prime is 10126041581. The reversal of 10126041564 is 46514062101.

It is a congruent number.

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, 7406809 + ... + 7408175.

It is an arithmetic number, because the mean of its divisors is an integer number (264584880).

Almost surely, 2^10126041564 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 10126041564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700074240).

10126041564 is an abundant number, since it is smaller than the sum of its proper divisors (15274106916).

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

10126041564 is a wasteful number, since it uses less digits than its factorization.

10126041564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10126041564 in words is "ten billion, one hundred twenty-six million, forty-one thousand, five hundred sixty-four".