16253541278208 has 640 divisors, whose sum is σ = 56630315427840. Its totient is φ = 4555045601280.

The previous prime is 16253541278203. The next prime is 16253541278269. The reversal of 16253541278208 is 80287214535261.

It is a happy number.

16253541278208 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 3 + 541 + 2 + 78 + 20 + 8 = 666.

It is a super-2 number, since 2×16253541278208² (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 not an unprimeable number, because it can be changed into a prime (16253541278203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94622416 + ... + 94794032.

It is an arithmetic number, because the mean of its divisors is an integer number (88484867856).

Almost surely, 2^{16253541278208} is an apocalyptic number.

16253541278208 is a gapful number since it is divisible by the number (18) 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 16253541278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28315157713920).

16253541278208 is an abundant number, since it is smaller than the sum of its proper divisors (40376774149632).

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

16253541278208 is a wasteful number, since it uses less digits than its factorization.

16253541278208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171705 (or 171683 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 16253541278208 in words is "sixteen trillion, two hundred fifty-three billion, five hundred forty-one million, two hundred seventy-eight thousand, two hundred eight".