1552982165280 has 1152 divisors, whose sum is σ = 6756159062016. Its totient is φ = 316000051200.

The previous prime is 1552982165237. The next prime is 1552982165299. The reversal of 1552982165280 is 825612892551.

1552982165280 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 98 + 21 + 6 + 528 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1750824997 + ... + 1750825883.

It is an arithmetic number, because the mean of its divisors is an integer number (5864721408).

Almost surely, 2^{1552982165280} is an apocalyptic number.

1552982165280 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 1552982165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378079531008).

1552982165280 is an abundant number, since it is smaller than the sum of its proper divisors (5203176896736).

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

1552982165280 is a wasteful number, since it uses less digits than its factorization.

1552982165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 1552982165280 in words is "one trillion, five hundred fifty-two billion, nine hundred eighty-two million, one hundred sixty-five thousand, two hundred eighty".