16517037539712 has 384 divisors, whose sum is σ = 48425086344960. Its totient is φ = 4977995894784.

The previous prime is 16517037539677. The next prime is 16517037539713. The reversal of 16517037539712 is 21793573071561.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16517037539713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488954838 + ... + 1488965930.

It is an arithmetic number, because the mean of its divisors is an integer number (126106995690).

Almost surely, 2^{16517037539712} is an apocalyptic number.

16517037539712 is a gapful number since it is divisible by the number (12) 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 16517037539712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212543172480).

16517037539712 is an abundant number, since it is smaller than the sum of its proper divisors (31908048805248).

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

16517037539712 is a wasteful number, since it uses less digits than its factorization.

16517037539712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 57.

The spelling of 16517037539712 in words is "sixteen trillion, five hundred seventeen billion, thirty-seven million, five hundred thirty-nine thousand, seven hundred twelve".