10691445804480 has 2016 divisors, whose sum is σ = 48735199618560. Its totient is φ = 2214136995840.

The previous prime is 10691445804467. The next prime is 10691445804497. The reversal of 10691445804480 is 8440854419601.

10691445804480 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 445 + 80 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×10691445804480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1665071670 + ... + 1665078090.

It is an arithmetic number, because the mean of its divisors is an integer number (24174206160).

Almost surely, 2^{10691445804480} is an apocalyptic number.

10691445804480 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 10691445804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24367599809280).

10691445804480 is an abundant number, since it is smaller than the sum of its proper divisors (38043753814080).

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

10691445804480 is a wasteful number, since it uses less digits than its factorization.

10691445804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10691445804480 in words is "ten trillion, six hundred ninety-one billion, four hundred forty-five million, eight hundred four thousand, four hundred eighty".