16205264160000 has 1440 divisors, whose sum is σ = 58318880484480. Its totient is φ = 3981312000000.

The previous prime is 16205264159921. The next prime is 16205264160103. The reversal of 16205264160000 is 6146250261.

It is a super-2 number, since 2×16205264160000² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 67241759880 + ... + 67241760120.

Almost surely, 2^{16205264160000} is an apocalyptic number.

16205264160000 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 16205264160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29159440242240).

16205264160000 is an abundant number, since it is smaller than the sum of its proper divisors (42113616324480).

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

16205264160000 is a wasteful number, since it uses less digits than its factorization.

16205264160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 16205264160000 in words is "sixteen trillion, two hundred five billion, two hundred sixty-four million, one hundred sixty thousand".