1566420802128 has 1280 divisors, whose sum is σ = 6008504320000. Its totient is φ = 387144769536.

The previous prime is 1566420802127. The next prime is 1566420802157. The reversal of 1566420802128 is 8212080246651.

1566420802128 is a `hidden beast` number, since 1 + 5 + 6 + 6 + 420 + 8 + 0 + 212 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1566420802127) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4648132776 + ... + 4648133112.

It is an arithmetic number, because the mean of its divisors is an integer number (4694144000).

Almost surely, 2^{1566420802128} is an apocalyptic number.

1566420802128 is a gapful number since it is divisible by the number (18) 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 1566420802128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004252160000).

1566420802128 is an abundant number, since it is smaller than the sum of its proper divisors (4442083517872).

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

1566420802128 is a wasteful number, since it uses less digits than its factorization.

1566420802128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

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

The spelling of 1566420802128 in words is "one trillion, five hundred sixty-six billion, four hundred twenty million, eight hundred two thousand, one hundred twenty-eight".