13164516368640 has 3888 divisors, whose sum is σ = 62862730257600. Its totient is φ = 2621598400512.

The previous prime is 13164516368623. The next prime is 13164516368711. The reversal of 13164516368640 is 4686361546131.

13164516368640 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 516 + 3 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 48938722426 + ... + 48938722694.

It is an arithmetic number, because the mean of its divisors is an integer number (16168397700).

Almost surely, 2^{13164516368640} is an apocalyptic number.

13164516368640 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 13164516368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31431365128800).

13164516368640 is an abundant number, since it is smaller than the sum of its proper divisors (49698213888960).

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

13164516368640 is a wasteful number, since it uses less digits than its factorization.

13164516368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13164516368640 in words is "thirteen trillion, one hundred sixty-four billion, five hundred sixteen million, three hundred sixty-eight thousand, six hundred forty".