10151126424 has 96 divisors (see below), whose sum is σ = 27871225200. Its totient is φ = 3337255680.

The previous prime is 10151126423. The next prime is 10151126437. The reversal of 10151126424 is 42462115101.

10151126424 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 1 + 12 + 642 + 4 = 666.

10151126424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151126423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4905262 + ... + 4907330.

Almost surely, 2^10151126424 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 10151126424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935612600).

10151126424 is an abundant number, since it is smaller than the sum of its proper divisors (17720098776).

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

10151126424 is a wasteful number, since it uses less digits than its factorization.

10151126424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10151126424 in words is "ten billion, one hundred fifty-one million, one hundred twenty-six thousand, four hundred twenty-four".