16264608985152 has 560 divisors, whose sum is σ = 52913621376000. Its totient is φ = 4919276136960.

The previous prime is 16264608985139. The next prime is 16264608985211. The reversal of 16264608985152 is 25158980646261.

16264608985152 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 4 + 608 + 9 + 8 + 5 + 15 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16264608985152.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11625881349 + ... + 11625882747.

It is an arithmetic number, because the mean of its divisors is an integer number (94488609600).

Almost surely, 2^{16264608985152} is an apocalyptic number.

16264608985152 is a gapful number since it is divisible by the number (12) 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 16264608985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456810688000).

16264608985152 is an abundant number, since it is smaller than the sum of its proper divisors (36649012390848).

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

16264608985152 is an frugal number, since it uses more digits than its factorization.

16264608985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 16264608985152 in words is "sixteen trillion, two hundred sixty-four billion, six hundred eight million, nine hundred eighty-five thousand, one hundred fifty-two".