13197827784960 has 2304 divisors, whose sum is σ = 63009190379520. Its totient is φ = 2535936491520.

The previous prime is 13197827784949. The next prime is 13197827785003. The reversal of 13197827784960 is 6948772879131.

13197827784960 is a `hidden beast` number, since 1 + 3 + 197 + 8 + 277 + 84 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1657389939 + ... + 1657397901.

It is an arithmetic number, because the mean of its divisors is an integer number (27347738880).

Almost surely, 2^{13197827784960} is an apocalyptic number.

13197827784960 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 13197827784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31504595189760).

13197827784960 is an abundant number, since it is smaller than the sum of its proper divisors (49811362594560).

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

13197827784960 is a wasteful number, since it uses less digits than its factorization.

13197827784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 13197827784960 in words is "thirteen trillion, one hundred ninety-seven billion, eight hundred twenty-seven million, seven hundred eighty-four thousand, nine hundred sixty".