13564213069680 has 640 divisors, whose sum is σ = 57600453335040. Its totient is φ = 2857049210880.

The previous prime is 13564213069657. The next prime is 13564213069691. The reversal of 13564213069680 is 8696031246531.

13564213069680 is a `hidden beast` number, since 1 + 3 + 56 + 421 + 3 + 0 + 6 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116501895 + ... + 116618265.

It is an arithmetic number, because the mean of its divisors is an integer number (90000708336).

Almost surely, 2^{13564213069680} is an apocalyptic number.

13564213069680 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 13564213069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800226667520).

13564213069680 is an abundant number, since it is smaller than the sum of its proper divisors (44036240265360).

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

13564213069680 is a wasteful number, since it uses less digits than its factorization.

13564213069680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117006 (or 116994 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13564213069680 in words is "thirteen trillion, five hundred sixty-four billion, two hundred thirteen million, sixty-nine thousand, six hundred eighty".