13516652870336 has 112 divisors (see below), whose sum is σ = 33510369392640. Its totient is φ = 5255233259520.

The previous prime is 13516652870309. The next prime is 13516652870351. The reversal of 13516652870336 is 63307825661531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502565 + ... + 5223588.

It is an arithmetic number, because the mean of its divisors is an integer number (299199726720).

Almost surely, 2^{13516652870336} is an apocalyptic number.

13516652870336 is a gapful number since it is divisible by the number (16) 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 13516652870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755184696320).

13516652870336 is an abundant number, since it is smaller than the sum of its proper divisors (19993716522304).

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

13516652870336 is a wasteful number, since it uses less digits than its factorization.

13516652870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726662 (or 5726652 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 13516652870336 in words is "thirteen trillion, five hundred sixteen billion, six hundred fifty-two million, eight hundred seventy thousand, three hundred thirty-six".