16105302420480 has 1760 divisors, whose sum is σ = 71249396714496. Its totient is φ = 3387586904064.

The previous prime is 16105302420451. The next prime is 16105302420521. The reversal of 16105302420480 is 8402420350161.

It is a happy number.

16105302420480 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 530 + 2 + 42 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22153097877 + ... + 22153098603.

Almost surely, 2^{16105302420480} is an apocalyptic number.

16105302420480 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 16105302420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35624698357248).

16105302420480 is an abundant number, since it is smaller than the sum of its proper divisors (55144094294016).

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

16105302420480 is a wasteful number, since it uses less digits than its factorization.

16105302420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16105302420480 in words is "sixteen trillion, one hundred five billion, three hundred two million, four hundred twenty thousand, four hundred eighty".