16412061818880 has 1344 divisors, whose sum is σ = 73101485983680. Its totient is φ = 3462616055808.

The previous prime is 16412061818869. The next prime is 16412061818881. The reversal of 16412061818880 is 8881816021461.

16412061818880 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 2 + 0 + 618 + 18 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412061818881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704459392 + ... + 704482688.

It is an arithmetic number, because the mean of its divisors is an integer number (54390986595).

Almost surely, 2^{16412061818880} is an apocalyptic number.

16412061818880 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 16412061818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36550742991840).

16412061818880 is an abundant number, since it is smaller than the sum of its proper divisors (56689424164800).

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

16412061818880 is a wasteful number, since it uses less digits than its factorization.

16412061818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23364 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 16412061818880 in words is "sixteen trillion, four hundred twelve billion, sixty-one million, eight hundred eighteen thousand, eight hundred eighty".