10615126368 has 288 divisors, whose sum is σ = 35538144768. Its totient is φ = 2743372800.

The previous prime is 10615126339. The next prime is 10615126399. The reversal of 10615126368 is 86362151601.

It is a super-2 number, since 2×10615126368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14022246 + ... + 14023002.

It is an arithmetic number, because the mean of its divisors is an integer number (123396336).

Almost surely, 2^10615126368 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 10615126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769072384).

10615126368 is an abundant number, since it is smaller than the sum of its proper divisors (24923018400).

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

10615126368 is a wasteful number, since it uses less digits than its factorization.

10615126368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 10615126368 its reverse (86362151601), we get a palindrome (96977277969).

The spelling of 10615126368 in words is "ten billion, six hundred fifteen million, one hundred twenty-six thousand, three hundred sixty-eight".