10865126016 has 192 divisors, whose sum is σ = 32401075200. Its totient is φ = 3491112960.

The previous prime is 10865125991. The next prime is 10865126021. The reversal of 10865126016 is 61062156801.

10865126016 is a `hidden beast` number, since 1 + 0 + 86 + 512 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13105890 + ... + 13106718.

It is an arithmetic number, because the mean of its divisors is an integer number (168755600).

Almost surely, 2^10865126016 is an apocalyptic number.

10865126016 is a gapful number since it is divisible by the number (16) 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 10865126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200537600).

10865126016 is an abundant number, since it is smaller than the sum of its proper divisors (21535949184).

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

10865126016 is a wasteful number, since it uses less digits than its factorization.

10865126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10865126016 in words is "ten billion, eight hundred sixty-five million, one hundred twenty-six thousand, sixteen".