8563201920 has 1152 divisors, whose sum is σ = 39817552320. Its totient is φ = 1645608960.

The previous prime is 8563201909. The next prime is 8563201963. The reversal of 8563201920 is 291023658.

8563201920 is a `hidden beast` number, since 8 + 5 + 632 + 0 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276232305 + ... + 276232335.

Almost surely, 2^8563201920 is an apocalyptic number.

8563201920 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 8563201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19908776160).

8563201920 is an abundant number, since it is smaller than the sum of its proper divisors (31254350400).

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

8563201920 is a wasteful number, since it uses less digits than its factorization.

8563201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8563201920 is about 92537.5703160614. The cubic root of 8563201920 is about 2045.8732703874.

The spelling of 8563201920 in words is "eight billion, five hundred sixty-three million, two hundred one thousand, nine hundred twenty".