99355433760 has 768 divisors, whose sum is σ = 415620979200. Its totient is φ = 21882470400.

The previous prime is 99355433759. The next prime is 99355433761. The reversal of 99355433760 is 6733455399.

99355433760 is a `hidden beast` number, since 9 + 9 + 3 + 5 + 543 + 37 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (99355433759) and next prime (99355433761).

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

It is a junction number, because it is equal to n+sod(n) for n = 99355433697 and 99355433706.

It is not an unprimeable number, because it can be changed into a prime (99355433761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23425240 + ... + 23429480.

It is an arithmetic number, because the mean of its divisors is an integer number (541173150).

Almost surely, 2^99355433760 is an apocalyptic number.

99355433760 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 99355433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207810489600).

99355433760 is an abundant number, since it is smaller than the sum of its proper divisors (316265545440).

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

99355433760 is a wasteful number, since it uses less digits than its factorization.

99355433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 99355433760 in words is "ninety-nine billion, three hundred fifty-five million, four hundred thirty-three thousand, seven hundred sixty".