16323735100160 has 288 divisors, whose sum is σ = 41340668544000. Its totient is φ = 6158505738240.

The previous prime is 16323735100157. The next prime is 16323735100187. The reversal of 16323735100160 is 6100153732361.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6048066491 + ... + 6048069189.

It is an arithmetic number, because the mean of its divisors is an integer number (143543988000).

Almost surely, 2^{16323735100160} is an apocalyptic number.

16323735100160 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 16323735100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670334272000).

16323735100160 is an abundant number, since it is smaller than the sum of its proper divisors (25016933443840).

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

16323735100160 is a wasteful number, since it uses less digits than its factorization.

16323735100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 16323735100160 in words is "sixteen trillion, three hundred twenty-three billion, seven hundred thirty-five million, one hundred thousand, one hundred sixty".