8856100950400 has 384 divisors, whose sum is σ = 24266705760000. Its totient is φ = 3166533427200.

The previous prime is 8856100950379. The next prime is 8856100950449. The reversal of 8856100950400 is 40590016588.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412678466 + ... + 1412684734.

It is an arithmetic number, because the mean of its divisors is an integer number (63194546250).

Almost surely, 2^{8856100950400} is an apocalyptic number.

8856100950400 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 8856100950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133352880000).

8856100950400 is an abundant number, since it is smaller than the sum of its proper divisors (15410604809600).

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

8856100950400 is a wasteful number, since it uses less digits than its factorization.

8856100950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

Adding to 8856100950400 its reverse (40590016588), we get a palindrome (8896690966988).

The spelling of 8856100950400 in words is "eight trillion, eight hundred fifty-six billion, one hundred million, nine hundred fifty thousand, four hundred".