8821050638400 has 5376 divisors, whose sum is σ = 46225041408000. Its totient is φ = 1609445376000.

The previous prime is 8821050638363. The next prime is 8821050638417. The reversal of 8821050638400 is 48360501288.

8821050638400 is a `hidden beast` number, since 8 + 8 + 2 + 1 + 0 + 5 + 0 + 638 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 48735086310 + ... + 48735086490.

It is an arithmetic number, because the mean of its divisors is an integer number (8598408000).

Almost surely, 2^{8821050638400} is an apocalyptic number.

8821050638400 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 8821050638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112520704000).

8821050638400 is an abundant number, since it is smaller than the sum of its proper divisors (37403990769600).

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

8821050638400 is a wasteful number, since it uses less digits than its factorization.

8821050638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8821050638400 in words is "eight trillion, eight hundred twenty-one billion, fifty million, six hundred thirty-eight thousand, four hundred".