13603224650400 has 1728 divisors, whose sum is σ = 64449194987520. Its totient is φ = 2735389440000.

The previous prime is 13603224650387. The next prime is 13603224650401. The reversal of 13603224650400 is 405642230631.

13603224650400 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 3 + 2 + 246 + 5 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13603224650401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 360895555 + ... + 360933245.

It is an arithmetic number, because the mean of its divisors is an integer number (37296987840).

Almost surely, 2^{13603224650400} is an apocalyptic number.

13603224650400 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 13603224650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32224597493760).

13603224650400 is an abundant number, since it is smaller than the sum of its proper divisors (50845970337120).

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

13603224650400 is a wasteful number, since it uses less digits than its factorization.

13603224650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37776 (or 37750 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13603224650400 in words is "thirteen trillion, six hundred three billion, two hundred twenty-four million, six hundred fifty thousand, four hundred".