99010216800 has 864 divisors, whose sum is σ = 406782964224. Its totient is φ = 22394880000.

The previous prime is 99010216793. The next prime is 99010216807. The reversal of 99010216800 is 861201099.

It is an interprime number because it is at equal distance from previous prime (99010216793) and next prime (99010216807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99010216807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203306157 + ... + 203306643.

It is an arithmetic number, because the mean of its divisors is an integer number (470813616).

Almost surely, 2^99010216800 is an apocalyptic number.

99010216800 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 99010216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203391482112).

99010216800 is an abundant number, since it is smaller than the sum of its proper divisors (307772747424).

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

99010216800 is a wasteful number, since it uses less digits than its factorization.

99010216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Adding to 99010216800 its reverse (861201099), we get a palindrome (99871417899).

The spelling of 99010216800 in words is "ninety-nine billion, ten million, two hundred sixteen thousand, eight hundred".