16416108858240 has 1536 divisors, whose sum is σ = 71444370816000. Its totient is φ = 3451366195200.

The previous prime is 16416108858173. The next prime is 16416108858271. The reversal of 16416108858240 is 4285880161461.

16416108858240 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 10 + 8 + 8 + 582 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8501350075 + ... + 8501352005.

It is an arithmetic number, because the mean of its divisors is an integer number (46513262250).

Almost surely, 2^{16416108858240} is an apocalyptic number.

16416108858240 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 16416108858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35722185408000).

16416108858240 is an abundant number, since it is smaller than the sum of its proper divisors (55028261957760).

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

16416108858240 is a wasteful number, since it uses less digits than its factorization.

16416108858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 16416108858240 in words is "sixteen trillion, four hundred sixteen billion, one hundred eight million, eight hundred fifty-eight thousand, two hundred forty".