104211880209216 has 784 divisors, whose sum is σ = 346191879989760. Its totient is φ = 30894050488320.

The previous prime is 104211880209209. The next prime is 104211880209257. The reversal of 104211880209216 is 612902088112401.

104211880209216 is a `hidden beast` number, since 1 + 0 + 42 + 118 + 80 + 209 + 216 = 666.

104211880209216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4305730171 + ... + 4305754373.

Almost surely, 2^{104211880209216} is an apocalyptic number.

104211880209216 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 104211880209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173095939994880).

104211880209216 is an abundant number, since it is smaller than the sum of its proper divisors (241979999780544).

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

104211880209216 is a wasteful number, since it uses less digits than its factorization.

104211880209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24506 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 104211880209216 in words is "one hundred four trillion, two hundred eleven billion, eight hundred eighty million, two hundred nine thousand, two hundred sixteen".