10067111616 has 112 divisors (see below), whose sum is σ = 27563673600. Its totient is φ = 3239362560.

The previous prime is 10067111611. The next prime is 10067111617. The reversal of 10067111616 is 61611176001.

It is a super-4 number, since 4×10067111616⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10067111611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2670565 + ... + 2674331.

Almost surely, 2^10067111616 is an apocalyptic number.

10067111616 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 10067111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781836800).

10067111616 is an abundant number, since it is smaller than the sum of its proper divisors (17496561984).

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

10067111616 is a wasteful number, since it uses less digits than its factorization.

10067111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

Adding to 10067111616 its reverse (61611176001), we get a palindrome (71678287617).

The spelling of 10067111616 in words is "ten billion, sixty-seven million, one hundred eleven thousand, six hundred sixteen".