13364540200 has 192 divisors, whose sum is σ = 35289169920. Its totient is φ = 4663008000.

The previous prime is 13364540179. The next prime is 13364540219. The reversal of 13364540200 is 204546331.

It is a super-2 number, since 2×13364540200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8660629 + ... + 8662171.

It is an arithmetic number, because the mean of its divisors is an integer number (183797760).

Almost surely, 2^13364540200 is an apocalyptic number.

13364540200 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 13364540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644584960).

13364540200 is an abundant number, since it is smaller than the sum of its proper divisors (21924629720).

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

13364540200 is a wasteful number, since it uses less digits than its factorization.

13364540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 13364540200 in words is "thirteen billion, three hundred sixty-four million, five hundred forty thousand, two hundred".