13405501450200 has 192 divisors, whose sum is σ = 42123877783200. Its totient is φ = 3526232371200.

The previous prime is 13405501450169. The next prime is 13405501450273. The reversal of 13405501450200 is 205410550431.

13405501450200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 22183254 + ... + 22779546.

Almost surely, 2^{13405501450200} is an apocalyptic number.

13405501450200 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 13405501450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061938891600).

13405501450200 is an abundant number, since it is smaller than the sum of its proper divisors (28718376333000).

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

13405501450200 is a wasteful number, since it uses less digits than its factorization.

13405501450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596822 (or 596813 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 13405501450200 in words is "thirteen trillion, four hundred five billion, five hundred one million, four hundred fifty thousand, two hundred".