13546828800 has 660 divisors, whose sum is σ = 51598155840. Its totient is φ = 3510190080.

The previous prime is 13546828793. The next prime is 13546828843. The reversal of 13546828800 is 882864531.

13546828800 is a `hidden beast` number, since 1 + 3 + 546 + 8 + 28 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97459131 + ... + 97459269.

It is an arithmetic number, because the mean of its divisors is an integer number (78179024).

Almost surely, 2^13546828800 is an apocalyptic number.

13546828800 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 13546828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25799077920).

13546828800 is an abundant number, since it is smaller than the sum of its proper divisors (38051327040).

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

13546828800 is a wasteful number, since it uses less digits than its factorization.

13546828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13546828800 in words is "thirteen billion, five hundred forty-six million, eight hundred twenty-eight thousand, eight hundred".