16770009312000 has 3024 divisors, whose sum is σ = 77237243096832. Its totient is φ = 3603485491200.

The previous prime is 16770009311999. The next prime is 16770009312163. The reversal of 16770009312000 is 21390007761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3024).

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 335 ways as a sum of consecutive naturals, for example, 19432223569 + ... + 19432224431.

It is an arithmetic number, because the mean of its divisors is an integer number (25541416368).

Almost surely, 2^{16770009312000} is an apocalyptic number.

16770009312000 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 16770009312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38618621548416).

16770009312000 is an abundant number, since it is smaller than the sum of its proper divisors (60467233784832).

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

16770009312000 is an frugal number, since it uses more digits than its factorization.

16770009312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 16770009312000 its reverse (21390007761), we get a palindrome (16791399319761).

The spelling of 16770009312000 in words is "sixteen trillion, seven hundred seventy billion, nine million, three hundred twelve thousand".