16542346936320 has 1024 divisors, whose sum is σ = 61604997120000. Its totient is φ = 4206388838400.

The previous prime is 16542346936253. The next prime is 16542346936363. The reversal of 16542346936320 is 2363964324561.

16542346936320 is a `hidden beast` number, since 1 + 6 + 54 + 234 + 6 + 9 + 36 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9736518831 + ... + 9736520529.

It is an arithmetic number, because the mean of its divisors is an integer number (60161130000).

Almost surely, 2^{16542346936320} is an apocalyptic number.

16542346936320 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 16542346936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30802498560000).

16542346936320 is an abundant number, since it is smaller than the sum of its proper divisors (45062650183680).

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

16542346936320 is an equidigital number, since it uses as much as digits as its factorization.

16542346936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 16542346936320 in words is "sixteen trillion, five hundred forty-two billion, three hundred forty-six million, nine hundred thirty-six thousand, three hundred twenty".