1466553521160 has 512 divisors, whose sum is σ = 6037282944000. Its totient is φ = 308364558336.

The previous prime is 1466553521141. The next prime is 1466553521201. The reversal of 1466553521160 is 611253556641.

1466553521160 is a `hidden beast` number, since 1 + 4 + 6 + 65 + 5 + 3 + 521 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 28770576 + ... + 28821504.

It is an arithmetic number, because the mean of its divisors is an integer number (11791568250).

Almost surely, 2^{1466553521160} is an apocalyptic number.

1466553521160 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 1466553521160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018641472000).

1466553521160 is an abundant number, since it is smaller than the sum of its proper divisors (4570729422840).

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

1466553521160 is a wasteful number, since it uses less digits than its factorization.

1466553521160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51262 (or 51252 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1466553521160 in words is "one trillion, four hundred sixty-six billion, five hundred fifty-three million, five hundred twenty-one thousand, one hundred sixty".