8888900385600 has 2016 divisors, whose sum is σ = 35992116992000. Its totient is φ = 2127603179520.

The previous prime is 8888900385577. The next prime is 8888900385637. The reversal of 8888900385600 is 65830098888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54533131119 + ... + 54533131281.

Almost surely, 2^{8888900385600} is an apocalyptic number.

8888900385600 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 8888900385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996058496000).

8888900385600 is an abundant number, since it is smaller than the sum of its proper divisors (27103216606400).

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

8888900385600 is a wasteful number, since it uses less digits than its factorization.

8888900385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 8888900385600 in words is "eight trillion, eight hundred eighty-eight billion, nine hundred million, three hundred eighty-five thousand, six hundred".