100859846960016 has 320 divisors, whose sum is σ = 303978524129280. Its totient is φ = 31957675200000.

The previous prime is 100859846960011. The next prime is 100859846960017. The reversal of 100859846960016 is 610069648958001.

100859846960016 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 9 + 8 + 4 + 6 + 9 + 600 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (100859846960011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2609482291 + ... + 2609520941.

It is an arithmetic number, because the mean of its divisors is an integer number (949932887904).

Almost surely, 2^{100859846960016} is an apocalyptic number.

100859846960016 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 100859846960016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151989262064640).

100859846960016 is an abundant number, since it is smaller than the sum of its proper divisors (203118677169264).

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

100859846960016 is a wasteful number, since it uses less digits than its factorization.

100859846960016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40323 (or 40311 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 100859846960016 in words is "one hundred trillion, eight hundred fifty-nine billion, eight hundred forty-six million, nine hundred sixty thousand, sixteen".