13163212800 has 702 divisors, whose sum is σ = 51112265932. Its totient is φ = 3357573120.

The previous prime is 13163212771. The next prime is 13163212801. The reversal of 13163212800 is 821236131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13163212800 is a `hidden beast` number, since 1 + 3 + 1 + 632 + 1 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13163212801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 572313589 + ... + 572313611.

Almost surely, 2^13163212800 is an apocalyptic number.

13163212800 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 13163212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25556132966).

13163212800 is an abundant number, since it is smaller than the sum of its proper divisors (37949053132).

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

13163212800 is an frugal number, since it uses more digits than its factorization.

13163212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Multiplying 13163212800 by its sum of digits (27), we get a square (355406745600 = 596160²).

13163212800 divided by its sum of digits (27) gives a square (487526400 = 22080²).

Multiplying 13163212800 by its product of nonzero digits (1728), we get a square (22746031718400 = 4769280²).

13163212800 divided by its product of nonzero digits (1728) gives a square (7617600 = 2760²).

Adding to 13163212800 its reverse (821236131), we get a palindrome (13984448931).

The spelling of 13163212800 in words is "thirteen billion, one hundred sixty-three million, two hundred twelve thousand, eight hundred".