13355147097600 has 1440 divisors, whose sum is σ = 56216536054272. Its totient is φ = 2763694080000.

The previous prime is 13355147097571. The next prime is 13355147097631. The reversal of 13355147097600 is 679074155331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5609048410 + ... + 5609050790.

Almost surely, 2^{13355147097600} is an apocalyptic number.

13355147097600 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 13355147097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108268027136).

13355147097600 is an abundant number, since it is smaller than the sum of its proper divisors (42861388956672).

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

13355147097600 is a wasteful number, since it uses less digits than its factorization.

13355147097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 13355147097600 in words is "thirteen trillion, three hundred fifty-five billion, one hundred forty-seven million, ninety-seven thousand, six hundred".