13474121035200 has 672 divisors, whose sum is σ = 51469805721600. Its totient is φ = 3022180331520.

The previous prime is 13474121035163. The next prime is 13474121035201. The reversal of 13474121035200 is 253012147431.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13474121035201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163663011 + ... + 1163674589.

It is an arithmetic number, because the mean of its divisors is an integer number (76591972800).

Almost surely, 2^{13474121035200} is an apocalyptic number.

13474121035200 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 13474121035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734902860800).

13474121035200 is an abundant number, since it is smaller than the sum of its proper divisors (37995684686400).

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

13474121035200 is a wasteful number, since it uses less digits than its factorization.

13474121035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12242 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13474121035200 in words is "thirteen trillion, four hundred seventy-four billion, one hundred twenty-one million, thirty-five thousand, two hundred".