1466065797560 has 512 divisors, whose sum is σ = 4202672947200. Its totient is φ = 448033351680.

The previous prime is 1466065797491. The next prime is 1466065797569. The reversal of 1466065797560 is 657975606641.

It is a junction number, because it is equal to n+sod(n) for n = 1466065797493 and 1466065797502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466065797569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4224973307 + ... + 4224973653.

It is an arithmetic number, because the mean of its divisors is an integer number (8208345600).

Almost surely, 2^{1466065797560} is an apocalyptic number.

1466065797560 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 1466065797560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101336473600).

1466065797560 is an abundant number, since it is smaller than the sum of its proper divisors (2736607149640).

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

1466065797560 is a wasteful number, since it uses less digits than its factorization.

1466065797560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 62.

The spelling of 1466065797560 in words is "one trillion, four hundred sixty-six billion, sixty-five million, seven hundred ninety-seven thousand, five hundred sixty".