8557285201920 has 4608 divisors, whose sum is σ = 42473942784000. Its totient is φ = 1609851469824.

The previous prime is 8557285201891. The next prime is 8557285202009. The reversal of 8557285201920 is 291025827558.

8557285201920 is a `hidden beast` number, since 8 + 5 + 5 + 7 + 28 + 520 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 450383431671 + ... + 450383431689.

It is an arithmetic number, because the mean of its divisors is an integer number (9217435500).

Almost surely, 2^{8557285201920} is an apocalyptic number.

8557285201920 is a gapful number since it is divisible by the number (80) 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 8557285201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21236971392000).

8557285201920 is an abundant number, since it is smaller than the sum of its proper divisors (33916657582080).

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

8557285201920 is a wasteful number, since it uses less digits than its factorization.

8557285201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

It can be divided in two parts, 8557285 and 201920, that added together give a triangular number (8759205 = T₄₁₈₅).

The spelling of 8557285201920 in words is "eight trillion, five hundred fifty-seven billion, two hundred eighty-five million, two hundred one thousand, nine hundred twenty".