13220852400 has 960 divisors, whose sum is σ = 58099138560. Its totient is φ = 2821754880.

The previous prime is 13220852329. The next prime is 13220852401. The reversal of 13220852400 is 425802231.

13220852400 is a `hidden beast` number, since 1 + 3 + 2 + 208 + 52 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220852401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104101137 + ... + 104101263.

It is an arithmetic number, because the mean of its divisors is an integer number (60519936).

Almost surely, 2^13220852400 is an apocalyptic number.

13220852400 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 13220852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29049569280).

13220852400 is an abundant number, since it is smaller than the sum of its proper divisors (44878286160).

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

13220852400 is a wasteful number, since it uses less digits than its factorization.

13220852400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 13220852400 in words is "thirteen billion, two hundred twenty million, eight hundred fifty-two thousand, four hundred".