16705521000 has 1152 divisors, whose sum is σ = 72242876160. Its totient is φ = 3592512000.

The previous prime is 16705520983. The next prime is 16705521011. The reversal of 16705521000 is 12550761.

16705521000 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 552 + 100 + 0 = 666.

16705521000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 273860970 + ... + 273861030.

It is an arithmetic number, because the mean of its divisors is an integer number (62710830).

Almost surely, 2^16705521000 is an apocalyptic number.

16705521000 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 16705521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36121438080).

16705521000 is an abundant number, since it is smaller than the sum of its proper divisors (55537355160).

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

16705521000 is a wasteful number, since it uses less digits than its factorization.

16705521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 16705521000 in words is "sixteen billion, seven hundred five million, five hundred twenty-one thousand".