13064822400 has 384 divisors, whose sum is σ = 49403088000. Its totient is φ = 2972712960.

The previous prime is 13064822369. The next prime is 13064822401. The reversal of 13064822400 is 422846031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13064822401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29097376 + ... + 29097824.

It is an arithmetic number, because the mean of its divisors is an integer number (128653875).

Almost surely, 2^13064822400 is an apocalyptic number.

13064822400 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 13064822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701544000).

13064822400 is an abundant number, since it is smaller than the sum of its proper divisors (36338265600).

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

13064822400 is a wasteful number, since it uses less digits than its factorization.

13064822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 13064822400 in words is "thirteen billion, sixty-four million, eight hundred twenty-two thousand, four hundred".