1066381488480 has 576 divisors, whose sum is σ = 4353502712832. Its totient is φ = 216868700160.

The previous prime is 1066381488463. The next prime is 1066381488493. The reversal of 1066381488480 is 848841836601.

It is a super-2 number, since 2×1066381488480² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066381488480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12115992 + ... + 12203688.

It is an arithmetic number, because the mean of its divisors is an integer number (7558164432).

Almost surely, 2^{1066381488480} is an apocalyptic number.

1066381488480 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 1066381488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176751356416).

1066381488480 is an abundant number, since it is smaller than the sum of its proper divisors (3287121224352).

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

1066381488480 is a wasteful number, since it uses less digits than its factorization.

1066381488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87787 (or 87772 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 1066381488480 in words is "one trillion, sixty-six billion, three hundred eighty-one million, four hundred eighty-eight thousand, four hundred eighty".