13556470728600 has 288 divisors, whose sum is σ = 47928541752000. Its totient is φ = 3424418968320.

The previous prime is 13556470728503. The next prime is 13556470728611. The reversal of 13556470728600 is 682707465531.

13556470728600 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 4 + 7 + 0 + 7 + 28 + 600 = 666.

13556470728600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13556470728600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 450980371 + ... + 451010429.

It is an arithmetic number, because the mean of its divisors is an integer number (166418547750).

Almost surely, 2^{13556470728600} is an apocalyptic number.

13556470728600 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 13556470728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964270876000).

13556470728600 is an abundant number, since it is smaller than the sum of its proper divisors (34372071023400).

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

13556470728600 is a wasteful number, since it uses less digits than its factorization.

13556470728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43287 (or 43275 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 13556470728600 in words is "thirteen trillion, five hundred fifty-six billion, four hundred seventy million, seven hundred twenty-eight thousand, six hundred".