16211176044960 has 768 divisors, whose sum is σ = 61397506275840. Its totient is φ = 3551967313920.

The previous prime is 16211176044937. The next prime is 16211176044991. The reversal of 16211176044960 is 6944067111261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1235507200 + ... + 1235520320.

It is an arithmetic number, because the mean of its divisors is an integer number (79944669630).

Almost surely, 2^{16211176044960} is an apocalyptic number.

16211176044960 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 16211176044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30698753137920).

16211176044960 is an abundant number, since it is smaller than the sum of its proper divisors (45186330230880).

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

16211176044960 is a wasteful number, since it uses less digits than its factorization.

16211176044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 16211176044960 in words is "sixteen trillion, two hundred eleven billion, one hundred seventy-six million, forty-four thousand, nine hundred sixty".