16685401089240 has 960 divisors, whose sum is σ = 64491505214400. Its totient is φ = 3854037417984.

The previous prime is 16685401089173. The next prime is 16685401089293. The reversal of 16685401089240 is 4298010458661.

16685401089240 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 540 + 1 + 0 + 8 + 92 + 4 + 0 = 666.

It is a super-2 number, since 2×16685401089240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3341756184 + ... + 3341761176.

It is an arithmetic number, because the mean of its divisors is an integer number (67178651265).

Almost surely, 2^{16685401089240} is an apocalyptic number.

16685401089240 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 16685401089240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32245752607200).

16685401089240 is an abundant number, since it is smaller than the sum of its proper divisors (47806104125160).

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

16685401089240 is a wasteful number, since it uses less digits than its factorization.

16685401089240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 16685401089240 in words is "sixteen trillion, six hundred eighty-five billion, four hundred one million, eighty-nine thousand, two hundred forty".