16936661381760 has 320 divisors, whose sum is σ = 60516965013120. Its totient is φ = 4513972230144.

The previous prime is 16936661381711. The next prime is 16936661381767. The reversal of 16936661381760 is 6718316663961.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (16936661381767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95660037 + ... + 95836923.

It is an arithmetic number, because the mean of its divisors is an integer number (189115515666).

Almost surely, 2^{16936661381760} is an apocalyptic number.

16936661381760 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 16936661381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258482506560).

16936661381760 is an abundant number, since it is smaller than the sum of its proper divisors (43580303631360).

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

16936661381760 is a wasteful number, since it uses less digits than its factorization.

16936661381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178765 (or 178744 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 16936661381760 in words is "sixteen trillion, nine hundred thirty-six billion, six hundred sixty-one million, three hundred eighty-one thousand, seven hundred sixty".