1483086528000 has 2880 divisors, whose sum is σ = 7203130773696. Its totient is φ = 289013760000.

The previous prime is 1483086527971. The next prime is 1483086528031. The reversal of 1483086528000 is 8256803841.

1483086528000 is a `hidden beast` number, since 1 + 4 + 8 + 308 + 65 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 287 ways as a sum of consecutive naturals, for example, 5277887860 + ... + 5277888140.

Almost surely, 2^{1483086528000} is an apocalyptic number.

1483086528000 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 1483086528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601565386848).

1483086528000 is an abundant number, since it is smaller than the sum of its proper divisors (5720044245696).

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

1483086528000 is a wasteful number, since it uses less digits than its factorization.

1483086528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1483086528000 in words is "one trillion, four hundred eighty-three billion, eighty-six million, five hundred twenty-eight thousand".