10862726616 has 320 divisors, whose sum is σ = 36461230080. Its totient is φ = 2956124160.

The previous prime is 10862726599. The next prime is 10862726617. The reversal of 10862726616 is 61662726801.

10862726616 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 2 + 7 + 26 + 616 = 666.

It is a super-2 number, since 2×10862726616² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10862726617) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9420696 + ... + 9421848.

It is an arithmetic number, because the mean of its divisors is an integer number (113941344).

Almost surely, 2^10862726616 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 10862726616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230615040).

10862726616 is an abundant number, since it is smaller than the sum of its proper divisors (25598503464).

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

10862726616 is a wasteful number, since it uses less digits than its factorization.

10862726616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10862726616 in words is "ten billion, eight hundred sixty-two million, seven hundred twenty-six thousand, six hundred sixteen".