16386309890400 has 288 divisors, whose sum is σ = 53561264359680. Its totient is φ = 4351359047680.

The previous prime is 16386309890393. The next prime is 16386309890411. The reversal of 16386309890400 is 409890368361.

It is a happy number.

It is a super-2 number, since 2×16386309890400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157891006 + ... + 3157896194.

It is an arithmetic number, because the mean of its divisors is an integer number (185976612360).

Almost surely, 2^{16386309890400} is an apocalyptic number.

16386309890400 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 16386309890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26780632179840).

16386309890400 is an abundant number, since it is smaller than the sum of its proper divisors (37174954469280).

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

16386309890400 is a wasteful number, since it uses less digits than its factorization.

16386309890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10478 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 16386309890400 in words is "sixteen trillion, three hundred eighty-six billion, three hundred nine million, eight hundred ninety thousand, four hundred".