8893266220800 has 1728 divisors, whose sum is σ = 37351709337600. Its totient is φ = 2052366336000.

The previous prime is 8893266220799. The next prime is 8893266220801. The reversal of 8893266220800 is 80226623988.

8893266220800 is a `hidden beast` number, since 8 + 8 + 9 + 3 + 2 + 6 + 622 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8893266220799) and next prime (8893266220801).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8893266220801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4310840569 + ... + 4310842631.

Almost surely, 2^{8893266220800} is an apocalyptic number.

8893266220800 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 8893266220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675854668800).

8893266220800 is an abundant number, since it is smaller than the sum of its proper divisors (28458443116800).

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

8893266220800 is a wasteful number, since it uses less digits than its factorization.

8893266220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 8893266220800 in words is "eight trillion, eight hundred ninety-three billion, two hundred sixty-six million, two hundred twenty thousand, eight hundred".