99267688800 has 1296 divisors, whose sum is σ = 437625115200. Its totient is φ = 21047040000.

The previous prime is 99267688783. The next prime is 99267688811. The reversal of 99267688800 is 888676299.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 395488675 + ... + 395488925.

It is an arithmetic number, because the mean of its divisors is an integer number (337673700).

Almost surely, 2^99267688800 is an apocalyptic number.

99267688800 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 99267688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218812557600).

99267688800 is an abundant number, since it is smaller than the sum of its proper divisors (338357426400).

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

99267688800 is a wasteful number, since it uses less digits than its factorization.

99267688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 99267688800 in words is "ninety-nine billion, two hundred sixty-seven million, six hundred eighty-eight thousand, eight hundred".