8950094821800 has 1440 divisors, whose sum is σ = 36738542332800. Its totient is φ = 2011396147200.

The previous prime is 8950094821699. The next prime is 8950094821867. The reversal of 8950094821800 is 81284900598.

8950094821800 is a `hidden beast` number, since 89 + 5 + 0 + 0 + 9 + 482 + 1 + 80 + 0 = 666.

8950094821800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8950094821800² (a number of 27 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 1750456044 + ... + 1750461156.

It is an arithmetic number, because the mean of its divisors is an integer number (25512876620).

Almost surely, 2^{8950094821800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8950094821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369271166400).

8950094821800 is an abundant number, since it is smaller than the sum of its proper divisors (27788447511000).

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

8950094821800 is a wasteful number, since it uses less digits than its factorization.

8950094821800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 8950094821800 in words is "eight trillion, nine hundred fifty billion, ninety-four million, eight hundred twenty-one thousand, eight hundred".