99409073195520 has 1280 divisors, whose sum is σ = 389947073218560. Its totient is φ = 23804618342400.

The previous prime is 99409073195513. The next prime is 99409073195557. The reversal of 99409073195520 is 2559137090499.

99409073195520 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 9 + 0 + 73 + 1 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21978567979 + ... + 21978572501.

It is an arithmetic number, because the mean of its divisors is an integer number (304646150952).

Almost surely, 2^{99409073195520} is an apocalyptic number.

99409073195520 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 99409073195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194973536609280).

99409073195520 is an abundant number, since it is smaller than the sum of its proper divisors (290538000023040).

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

99409073195520 is a wasteful number, since it uses less digits than its factorization.

99409073195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 99409073195520 in words is "ninety-nine trillion, four hundred nine billion, seventy-three million, one hundred ninety-five thousand, five hundred twenty".