13200492848400 has 720 divisors, whose sum is σ = 54833556802752. Its totient is φ = 2898215424000.

The previous prime is 13200492848383. The next prime is 13200492848407. The reversal of 13200492848400 is 484829400231.

13200492848400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 492 + 84 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13200492848400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13200492848407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27042495 + ... + 27526305.

Almost surely, 2^{13200492848400} is an apocalyptic number.

13200492848400 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 13200492848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27416778401376).

13200492848400 is an abundant number, since it is smaller than the sum of its proper divisors (41633063954352).

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

13200492848400 is a wasteful number, since it uses less digits than its factorization.

13200492848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483912 (or 483898 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13200492848400 in words is "thirteen trillion, two hundred billion, four hundred ninety-two million, eight hundred forty-eight thousand, four hundred".