13096416960 has 672 divisors, whose sum is σ = 52003171584. Its totient is φ = 3110400000.

The previous prime is 13096416947. The next prime is 13096417003. The reversal of 13096416960 is 6961469031.

It is a super-3 number, since 3×13096416960³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52176835 + ... + 52177085.

It is an arithmetic number, because the mean of its divisors is an integer number (77385672).

Almost surely, 2^13096416960 is an apocalyptic number.

13096416960 is a gapful number since it is divisible by the number (10) 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 13096416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26001585792).

13096416960 is an abundant number, since it is smaller than the sum of its proper divisors (38906754624).

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

13096416960 is a wasteful number, since it uses less digits than its factorization.

13096416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13096416960 in words is "thirteen billion, ninety-six million, four hundred sixteen thousand, nine hundred sixty".