13551321600 has 480 divisors, whose sum is σ = 50324725440. Its totient is φ = 3571384320.

The previous prime is 13551321557. The next prime is 13551321611. The reversal of 13551321600 is 612315531.

13551321600 is a `hidden beast` number, since 1 + 3 + 5 + 51 + 3 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 39052627 + ... + 39052973.

It is an arithmetic number, because the mean of its divisors is an integer number (104843178).

Almost surely, 2^13551321600 is an apocalyptic number.

13551321600 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 13551321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162362720).

13551321600 is an abundant number, since it is smaller than the sum of its proper divisors (36773403840).

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

13551321600 is a wasteful number, since it uses less digits than its factorization.

13551321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13551321600 in words is "thirteen billion, five hundred fifty-one million, three hundred twenty-one thousand, six hundred".