10126315584 has 336 divisors, whose sum is σ = 37439925120. Its totient is φ = 2539192320.

The previous prime is 10126315579. The next prime is 10126315609. The reversal of 10126315584 is 48551362101.

10126315584 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 63 + 15 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10126315584² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282272 + ... + 1290144.

Almost surely, 2^10126315584 is an apocalyptic number.

10126315584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719962560).

10126315584 is an abundant number, since it is smaller than the sum of its proper divisors (27313609536).

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

10126315584 is a wasteful number, since it uses less digits than its factorization.

10126315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 10126315584 its reverse (48551362101), we get a palindrome (58677677685).

The spelling of 10126315584 in words is "ten billion, one hundred twenty-six million, three hundred fifteen thousand, five hundred eighty-four".