99353640960 has 1440 divisors, whose sum is σ = 439683858432. Its totient is φ = 21021327360.

The previous prime is 99353640913. The next prime is 99353640979. The reversal of 99353640960 is 6904635399.

99353640960 is a `hidden beast` number, since 9 + 9 + 3 + 536 + 40 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×99353640960² (a number of 23 digits) contains 22 as substring.

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 = 99353640897 and 99353640906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3204956145 + ... + 3204956175.

Almost surely, 2^99353640960 is an apocalyptic number.

99353640960 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 99353640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219841929216).

99353640960 is an abundant number, since it is smaller than the sum of its proper divisors (340330217472).

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

99353640960 is an equidigital number, since it uses as much as digits as its factorization.

99353640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 99353640960 in words is "ninety-nine billion, three hundred fifty-three million, six hundred forty thousand, nine hundred sixty".