10997167104 has 264 divisors, whose sum is σ = 39592058688. Its totient is φ = 2856222720.

The previous prime is 10997167091. The next prime is 10997167133. The reversal of 10997167104 is 40176179901.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 10997167104.

It is a congruent number.

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, 701884 + ... + 717380.

Almost surely, 2^10997167104 is an apocalyptic number.

10997167104 is a gapful number since it is divisible by the number (14) 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 10997167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19796029344).

10997167104 is an abundant number, since it is smaller than the sum of its proper divisors (28594891584).

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

10997167104 is a wasteful number, since it uses less digits than its factorization.

10997167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 10997167104 in words is "ten billion, nine hundred ninety-seven million, one hundred sixty-seven thousand, one hundred four".