999820054800 has 960 divisors, whose sum is σ = 4355110540800. Its totient is φ = 212646297600.

The previous prime is 999820054789. The next prime is 999820054801. The reversal of 999820054800 is 8450028999.

999820054800 is a `hidden beast` number, since 9 + 9 + 98 + 2 + 0 + 0 + 548 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (999820054801) 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, 114378430 + ... + 114387170.

It is an arithmetic number, because the mean of its divisors is an integer number (4536573480).

Almost surely, 2^999820054800 is an apocalyptic number.

999820054800 is a gapful number since it is divisible by the number (90) 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 999820054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177555270400).

999820054800 is an abundant number, since it is smaller than the sum of its proper divisors (3355290486000).

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

999820054800 is a wasteful number, since it uses less digits than its factorization.

999820054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 999820054800 in words is "nine hundred ninety-nine billion, eight hundred twenty million, fifty-four thousand, eight hundred".