8838040780800 has 2160 divisors, whose sum is σ = 40465851426000. Its totient is φ = 1823263948800.

The previous prime is 8838040780757. The next prime is 8838040780837. The reversal of 8838040780800 is 80870408388.

8838040780800 is a `hidden beast` number, since 8 + 8 + 3 + 80 + 407 + 80 + 80 + 0 = 666.

It is a super-2 number, since 2×8838040780800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 63583027131 + ... + 63583027269.

It is an arithmetic number, because the mean of its divisors is an integer number (18734190475).

Almost surely, 2^{8838040780800} is an apocalyptic number.

8838040780800 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 8838040780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232925713000).

8838040780800 is an abundant number, since it is smaller than the sum of its proper divisors (31627810645200).

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

8838040780800 is a wasteful number, since it uses less digits than its factorization.

8838040780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 8838040780800 in words is "eight trillion, eight hundred thirty-eight billion, forty million, seven hundred eighty thousand, eight hundred".