1482152889120 has 384 divisors, whose sum is σ = 4977784627200. Its totient is φ = 370087280640.

The previous prime is 1482152889109. The next prime is 1482152889157. The reversal of 1482152889120 is 219882512841.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68452056 + ... + 68473704.

It is an arithmetic number, because the mean of its divisors is an integer number (12962980800).

Almost surely, 2^{1482152889120} is an apocalyptic number.

1482152889120 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 1482152889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488892313600).

1482152889120 is an abundant number, since it is smaller than the sum of its proper divisors (3495631738080).

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

1482152889120 is a wasteful number, since it uses less digits than its factorization.

1482152889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21848 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 1482152889120 in words is "one trillion, four hundred eighty-two billion, one hundred fifty-two million, eight hundred eighty-nine thousand, one hundred twenty".