8806138387200 has 1296 divisors, whose sum is σ = 40564842017280. Its totient is φ = 1829816524800.

The previous prime is 8806138387199. The next prime is 8806138387271. The reversal of 8806138387200 is 27838316088.

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

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, 146331517 + ... + 146391683.

Almost surely, 2^{8806138387200} is an apocalyptic number.

8806138387200 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 8806138387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282421008640).

8806138387200 is an abundant number, since it is smaller than the sum of its proper divisors (31758703630080).

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

8806138387200 is a wasteful number, since it uses less digits than its factorization.

8806138387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60231 (or 60195 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8806138387200 in words is "eight trillion, eight hundred six billion, one hundred thirty-eight million, three hundred eighty-seven thousand, two hundred".