13530155728896 has 675 divisors, whose sum is σ = 42177652549263. Its totient is φ = 4322191933440.

The previous prime is 13530155728879. The next prime is 13530155728913. The reversal of 13530155728896 is 69882755103531.

The square root of 13530155728896 is 3678336.

It is a perfect power (a square), and thus also a powerful number.

13530155728896 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 1 + 5 + 572 + 8 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13530155728879) and next prime (13530155728913).

It is a super-2 number, since 2×13530155728896² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 131360735181 + ... + 131360735283.

Almost surely, 2^{13530155728896} is an apocalyptic number.

13530155728896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13530155728896 is the 3678336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530155728896

13530155728896 is an abundant number, since it is smaller than the sum of its proper divisors (28647496820367).

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

13530155728896 is an frugal number, since it uses more digits than its factorization.

13530155728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 13530155728896 in words is "thirteen trillion, five hundred thirty billion, one hundred fifty-five million, seven hundred twenty-eight thousand, eight hundred ninety-six".