13204635634080 has 384 divisors, whose sum is σ = 50475087532800. Its totient is φ = 3197480140800.

The previous prime is 13204635634079. The next prime is 13204635634097. The reversal of 13204635634080 is 8043653640231.

13204635634080 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 6 + 3 + 5 + 634 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41707416 + ... + 42022824.

It is an arithmetic number, because the mean of its divisors is an integer number (131445540450).

Almost surely, 2^{13204635634080} is an apocalyptic number.

13204635634080 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 13204635634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25237543766400).

13204635634080 is an abundant number, since it is smaller than the sum of its proper divisors (37270451898720).

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

13204635634080 is a wasteful number, since it uses less digits than its factorization.

13204635634080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316325 (or 316311 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 13204635634080 in words is "thirteen trillion, two hundred four billion, six hundred thirty-five million, six hundred thirty-four thousand, eighty".