13616001020160 has 6912 divisors, whose sum is σ = 71510932684800. Its totient is φ = 2407897497600.

The previous prime is 13616001020131. The next prime is 13616001020161. The reversal of 13616001020160 is 6102010061631.

13616001020160 is a `hidden beast` number, since 1 + 3 + 616 + 0 + 0 + 10 + 20 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13616001020161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 186520561884 + ... + 186520561956.

It is an arithmetic number, because the mean of its divisors is an integer number (10345910400).

Almost surely, 2^{13616001020160} is an apocalyptic number.

13616001020160 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 13616001020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35755466342400).

13616001020160 is an abundant number, since it is smaller than the sum of its proper divisors (57894931664640).

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

13616001020160 is a wasteful number, since it uses less digits than its factorization.

13616001020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 13616001020160 its reverse (6102010061631), we get a palindrome (19718011081791).

The spelling of 13616001020160 in words is "thirteen trillion, six hundred sixteen billion, one million, twenty thousand, one hundred sixty".