16267908095712 has 3840 divisors, whose sum is σ = 70077934080000. Its totient is φ = 3575727783936.

The previous prime is 16267908095639. The next prime is 16267908095759. The reversal of 16267908095712 is 21759080976261.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 16267908095712.

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 639 ways as a sum of consecutive naturals, for example, 81748281789 + ... + 81748281987.

It is an arithmetic number, because the mean of its divisors is an integer number (18249462000).

Almost surely, 2^{16267908095712} is an apocalyptic number.

16267908095712 is a gapful number since it is divisible by the number (12) 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 16267908095712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35038967040000).

16267908095712 is an abundant number, since it is smaller than the sum of its proper divisors (53810025984288).

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

16267908095712 is a wasteful number, since it uses less digits than its factorization.

16267908095712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 16267908095712 in words is "sixteen trillion, two hundred sixty-seven billion, nine hundred eight million, ninety-five thousand, seven hundred twelve".