16630745040000 has 5760 divisors, whose sum is σ = 83302489670400. Its totient is φ = 3260694528000.

The previous prime is 16630745039957. The next prime is 16630745040001. The reversal of 16630745040000 is 4054703661.

It is a happy number.

16630745040000 is a `hidden beast` number, since 16 + 630 + 7 + 4 + 5 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is not an unprimeable number, because it can be changed into a prime (16630745040001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 210515759961 + ... + 210515760039.

It is an arithmetic number, because the mean of its divisors is an integer number (14462237790).

Almost surely, 2^{16630745040000} is an apocalyptic number.

16630745040000 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 16630745040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41651244835200).

16630745040000 is an abundant number, since it is smaller than the sum of its proper divisors (66671744630400).

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

16630745040000 is an equidigital number, since it uses as much as digits as its factorization.

16630745040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 16630745040000 its reverse (4054703661), we get a palindrome (16634799743661).

The spelling of 16630745040000 in words is "sixteen trillion, six hundred thirty billion, seven hundred forty-five million, forty thousand".