10285127424 has 864 divisors, whose sum is σ = 38569789440. Its totient is φ = 2587852800.

The previous prime is 10285127423. The next prime is 10285127441. The reversal of 10285127424 is 42472158201.

10285127424 is a `hidden beast` number, since 102 + 8 + 5 + 127 + 424 = 666.

It is a super-2 number, since 2×10285127424² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285127423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194058982 + ... + 194059034.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^10285127424 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 10285127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

10285127424 is an abundant number, since it is smaller than the sum of its proper divisors (28284662016).

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

10285127424 is a wasteful number, since it uses less digits than its factorization.

10285127424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10285127424 in words is "ten billion, two hundred eighty-five million, one hundred twenty-seven thousand, four hundred twenty-four".