16412128560 has 360 divisors, whose sum is σ = 58636229184. Its totient is φ = 4113192960.

The previous prime is 16412128477. The next prime is 16412128613. The reversal of 16412128560 is 6582121461.

It is a happy number.

16412128560 is a `hidden beast` number, since 1 + 64 + 12 + 1 + 28 + 560 = 666.

16412128560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60561225 + ... + 60561495.

Almost surely, 2^16412128560 is an apocalyptic number.

16412128560 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 16412128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29318114592).

16412128560 is an abundant number, since it is smaller than the sum of its proper divisors (42224100624).

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

16412128560 is a wasteful number, since it uses less digits than its factorization.

16412128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16412128560 in words is "sixteen billion, four hundred twelve million, one hundred twenty-eight thousand, five hundred sixty".