16385273130240 has 864 divisors, whose sum is σ = 65851487170560. Its totient is φ = 3684241096704.

The previous prime is 16385273130209. The next prime is 16385273130277. The reversal of 16385273130240 is 4203137258361.

16385273130240 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 5 + 273 + 130 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599650559 + ... + 1599660801.

It is an arithmetic number, because the mean of its divisors is an integer number (76216999040).

Almost surely, 2^{16385273130240} is an apocalyptic number.

16385273130240 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 16385273130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32925743585280).

16385273130240 is an abundant number, since it is smaller than the sum of its proper divisors (49466214040320).

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

16385273130240 is a wasteful number, since it uses less digits than its factorization.

16385273130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10599 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16385273130240 in words is "sixteen trillion, three hundred eighty-five billion, two hundred seventy-three million, one hundred thirty thousand, two hundred forty".