8842125600 has 864 divisors, whose sum is σ = 39923694720. Its totient is φ = 1787904000.

The previous prime is 8842125581. The next prime is 8842125613. The reversal of 8842125600 is 65212488.

8842125600 is a `hidden beast` number, since 8 + 8 + 4 + 21 + 25 + 600 = 666.

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

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, 22730206 + ... + 22730594.

It is an arithmetic number, because the mean of its divisors is an integer number (46207980).

Almost surely, 2^8842125600 is an apocalyptic number.

8842125600 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 8842125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19961847360).

8842125600 is an abundant number, since it is smaller than the sum of its proper divisors (31081569120).

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

8842125600 is a wasteful number, since it uses less digits than its factorization.

8842125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8842125600 is about 94032.5773336028. The cubic root of 8842125600 is about 2067.8493381055.

The spelling of 8842125600 in words is "eight billion, eight hundred forty-two million, one hundred twenty-five thousand, six hundred".