13073368896 has 672 divisors, whose sum is σ = 47529780480. Its totient is φ = 3483648000.

The previous prime is 13073368877. The next prime is 13073368897. The reversal of 13073368896 is 69886337031.

13073368896 is a `hidden beast` number, since 130 + 73 + 368 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13073368897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129439246 + ... + 129439346.

It is an arithmetic number, because the mean of its divisors is an integer number (70728840).

Almost surely, 2^13073368896 is an apocalyptic number.

13073368896 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 13073368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764890240).

13073368896 is an abundant number, since it is smaller than the sum of its proper divisors (34456411584).

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

13073368896 is a wasteful number, since it uses less digits than its factorization.

13073368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 13073368896 in words is "thirteen billion, seventy-three million, three hundred sixty-eight thousand, eight hundred ninety-six".