13096762416 has 120 divisors (see below), whose sum is σ = 37375026000. Its totient is φ = 4279965696.

The previous prime is 13096762363. The next prime is 13096762421. The reversal of 13096762416 is 61426769031.

13096762416 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 7 + 624 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472980 + ... + 3476748.

It is an arithmetic number, because the mean of its divisors is an integer number (311458550).

Almost surely, 2^13096762416 is an apocalyptic number.

13096762416 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 13096762416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687513000).

13096762416 is an abundant number, since it is smaller than the sum of its proper divisors (24278263584).

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

13096762416 is a wasteful number, since it uses less digits than its factorization.

13096762416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13096762416 in words is "thirteen billion, ninety-six million, seven hundred sixty-two thousand, four hundred sixteen".