16085238220800 has 1728 divisors, whose sum is σ = 67310081879040. Its totient is φ = 3595230904320.

The previous prime is 16085238220771. The next prime is 16085238220859. The reversal of 16085238220800 is 802283258061.

16085238220800 is a `hidden beast` number, since 1 + 60 + 8 + 5 + 2 + 382 + 208 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56838297459 + ... + 56838297741.

It is an arithmetic number, because the mean of its divisors is an integer number (38952593680).

Almost surely, 2^{16085238220800} is an apocalyptic number.

16085238220800 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 16085238220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33655040939520).

16085238220800 is an abundant number, since it is smaller than the sum of its proper divisors (51224843658240).

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

16085238220800 is a wasteful number, since it uses less digits than its factorization.

16085238220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16085238220800 in words is "sixteen trillion, eighty-five billion, two hundred thirty-eight million, two hundred twenty thousand, eight hundred".