99531659520 has 720 divisors, whose sum is σ = 370214349120. Its totient is φ = 25516228608.

The previous prime is 99531659509. The next prime is 99531659567. The reversal of 99531659520 is 2595613599.

It is a happy number.

99531659520 is a `hidden beast` number, since 9 + 9 + 53 + 1 + 65 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324207207 + ... + 324207513.

It is an arithmetic number, because the mean of its divisors is an integer number (514186596).

Almost surely, 2^99531659520 is an apocalyptic number.

99531659520 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 99531659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185107174560).

99531659520 is an abundant number, since it is smaller than the sum of its proper divisors (270682689600).

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

99531659520 is a wasteful number, since it uses less digits than its factorization.

99531659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 99531659520 in words is "ninety-nine billion, five hundred thirty-one million, six hundred fifty-nine thousand, five hundred twenty".