8538362820 has 192 divisors, whose sum is σ = 28663165440. Its totient is φ = 2097639936.

The previous prime is 8538362813. The next prime is 8538362849. The reversal of 8538362820 is 282638358.

8538362820 is a `hidden beast` number, since 8 + 538 + 36 + 2 + 82 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a cake number, because a cake can be divided into 8538362820 parts by 3714 planar cuts.

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 63 ways as a sum of consecutive naturals, for example, 5215042 + ... + 5216678.

It is an arithmetic number, because the mean of its divisors is an integer number (149287320).

Almost surely, 2^8538362820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8538362820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331582720).

8538362820 is an abundant number, since it is smaller than the sum of its proper divisors (20124802620).

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

8538362820 is a wasteful number, since it uses less digits than its factorization.

8538362820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8538362820 is about 92403.2619554093. The cubic root of 8538362820 is about 2043.8932141035.

The spelling of 8538362820 in words is "eight billion, five hundred thirty-eight million, three hundred sixty-two thousand, eight hundred twenty".