10726641216 has 224 divisors, whose sum is σ = 33357312000. Its totient is φ = 3370719744.

The previous prime is 10726641199. The next prime is 10726641229. The reversal of 10726641216 is 61214662701.

10726641216 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 6 + 641 + 2 + 1 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 7846165 + ... + 7847531.

Almost surely, 2^10726641216 is an apocalyptic number.

10726641216 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 10726641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656000).

10726641216 is an abundant number, since it is smaller than the sum of its proper divisors (22630670784).

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

10726641216 is a wasteful number, since it uses less digits than its factorization.

10726641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10726641216 in words is "ten billion, seven hundred twenty-six million, six hundred forty-one thousand, two hundred sixteen".