16275485205504 has 1056 divisors, whose sum is σ = 58218153840000. Its totient is φ = 4473152667648.

The previous prime is 16275485205479. The next prime is 16275485205541. The reversal of 16275485205504 is 40550258457261.

16275485205504 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 5 + 4 + 85 + 2 + 0 + 550 + 4 = 666.

It is a super-2 number, since 2×16275485205504² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13711444399 + ... + 13711445585.

It is an arithmetic number, because the mean of its divisors is an integer number (55130827500).

Almost surely, 2^{16275485205504} is an apocalyptic number.

16275485205504 is a gapful number since it is divisible by the number (14) 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 16275485205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29109076920000).

16275485205504 is an abundant number, since it is smaller than the sum of its proper divisors (41942668634496).

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

16275485205504 is a wasteful number, since it uses less digits than its factorization.

16275485205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 16275485205504 in words is "sixteen trillion, two hundred seventy-five billion, four hundred eighty-five million, two hundred five thousand, five hundred four".