16505211426480 has 360 divisors, whose sum is σ = 64528865200800. Its totient is φ = 3769748914176.

The previous prime is 16505211426437. The next prime is 16505211426497. The reversal of 16505211426480 is 8462411250561.

16505211426480 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 5 + 21 + 142 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46356976 + ... + 46711664.

It is an arithmetic number, because the mean of its divisors is an integer number (179246847780).

Almost surely, 2^{16505211426480} is an apocalyptic number.

16505211426480 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 16505211426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32264432600400).

16505211426480 is an abundant number, since it is smaller than the sum of its proper divisors (48023653774320).

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

16505211426480 is a wasteful number, since it uses less digits than its factorization.

16505211426480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356041 (or 356025 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 16505211426480 in words is "sixteen trillion, five hundred five billion, two hundred eleven million, four hundred twenty-six thousand, four hundred eighty".