1493284066560 has 3024 divisors, whose sum is σ = 6863988515328. Its totient is φ = 306361958400.

The previous prime is 1493284066523. The next prime is 1493284066601. The reversal of 1493284066560 is 656604823941.

1493284066560 is a `hidden beast` number, since 1 + 4 + 9 + 32 + 8 + 40 + 6 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1493284066497 and 1493284066506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 48170453745 + ... + 48170453775.

It is an arithmetic number, because the mean of its divisors is an integer number (2269837472).

Almost surely, 2^{1493284066560} is an apocalyptic number.

1493284066560 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 1493284066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431994257664).

1493284066560 is an abundant number, since it is smaller than the sum of its proper divisors (5370704448768).

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

1493284066560 is a wasteful number, since it uses less digits than its factorization.

1493284066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1493284066560 in words is "one trillion, four hundred ninety-three billion, two hundred eighty-four million, sixty-six thousand, five hundred sixty".