8538015200 has 216 divisors, whose sum is σ = 24626220696. Its totient is φ = 2865408000.

The previous prime is 8538015191. The next prime is 8538015217. The reversal of 8538015200 is 25108358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1484330 + ... + 1490070.

It is an arithmetic number, because the mean of its divisors is an integer number (114010281).

Almost surely, 2^8538015200 is an apocalyptic number.

8538015200 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 8538015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313110348).

8538015200 is an abundant number, since it is smaller than the sum of its proper divisors (16088205496).

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

8538015200 is a wasteful number, since it uses less digits than its factorization.

8538015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 8538015200 is about 92401.3809420617. The cubic root of 8538015200 is about 2043.8654762410.

The spelling of 8538015200 in words is "eight billion, five hundred thirty-eight million, fifteen thousand, two hundred".