16350284160 has 768 divisors, whose sum is σ = 69931330560. Its totient is φ = 3569246208.

The previous prime is 16350284143. The next prime is 16350284173. The reversal of 16350284160 is 6148205361.

It is a happy number.

16350284160 is a `hidden beast` number, since 1 + 63 + 502 + 84 + 16 + 0 = 666.

It is a super-2 number, since 2×16350284160² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25038394 + ... + 25039046.

It is an arithmetic number, because the mean of its divisors is an integer number (91056420).

Almost surely, 2^16350284160 is an apocalyptic number.

16350284160 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 16350284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34965665280).

16350284160 is an abundant number, since it is smaller than the sum of its proper divisors (53581046400).

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

16350284160 is an equidigital number, since it uses as much as digits as its factorization.

16350284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16350284160 in words is "sixteen billion, three hundred fifty million, two hundred eighty-four thousand, one hundred sixty".