99809280000 has 900 divisors, whose sum is σ = 390007251480. Its totient is φ = 25214976000.

The previous prime is 99809279971. The next prime is 99809280001. The reversal of 99809280000 is 8290899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is not an unprimeable number, because it can be changed into a prime (99809280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5253119991 + ... + 5253120009.

Almost surely, 2^99809280000 is an apocalyptic number.

99809280000 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 99809280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195003625740).

99809280000 is an abundant number, since it is smaller than the sum of its proper divisors (290197971480).

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

99809280000 is an frugal number, since it uses more digits than its factorization.

99809280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 99809280000 in words is "ninety-nine billion, eight hundred nine million, two hundred eighty thousand".