16271894096640 has 2880 divisors, whose sum is σ = 74450064057600. Its totient is φ = 3371056496640.

The previous prime is 16271894096603. The next prime is 16271894096657. The reversal of 16271894096640 is 4669049817261.

16271894096640 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 189 + 409 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28200856032 + ... + 28200856608.

Almost surely, 2^{16271894096640} is an apocalyptic number.

16271894096640 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 16271894096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37225032028800).

16271894096640 is an abundant number, since it is smaller than the sum of its proper divisors (58178169960960).

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

16271894096640 is an equidigital number, since it uses as much as digits as its factorization.

16271894096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 16271894096640 in words is "sixteen trillion, two hundred seventy-one billion, eight hundred ninety-four million, ninety-six thousand, six hundred forty".