10500126416 has 40 divisors (see below), whose sum is σ = 21942449760. Its totient is φ = 4838795136.

The previous prime is 10500126409. The next prime is 10500126419. The reversal of 10500126416 is 61462100501.

It is a super-2 number, since 2×10500126416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500126419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98771 + ... + 175373.

It is an arithmetic number, because the mean of its divisors is an integer number (548561244).

Almost surely, 2^10500126416 is an apocalyptic number.

10500126416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10500126416 is an abundant number, since it is smaller than the sum of its proper divisors (11442323344).

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

10500126416 is a wasteful number, since it uses less digits than its factorization.

10500126416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77283 (or 77277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 10500126416 its reverse (61462100501), we get a palindrome (71962226917).

The spelling of 10500126416 in words is "ten billion, five hundred million, one hundred twenty-six thousand, four hundred sixteen".