99435700800 has 252 divisors, whose sum is σ = 353845985220. Its totient is φ = 26484080640.

The previous prime is 99435700769. The next prime is 99435700811. The reversal of 99435700800 is 800753499.

It can be written as a sum of positive squares in 6 ways, for example, as 44645999616 + 54789701184 = 211296^2 + 234072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13373884 + ... + 13381316.

It is an arithmetic number, because the mean of its divisors is an integer number (1404150735).

Almost surely, 2^99435700800 is an apocalyptic number.

99435700800 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 99435700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176922992610).

99435700800 is an abundant number, since it is smaller than the sum of its proper divisors (254410284420).

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

99435700800 is a wasteful number, since it uses less digits than its factorization.

99435700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 99435700800 in words is "ninety-nine billion, four hundred thirty-five million, seven hundred thousand, eight hundred".